番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-12/

1. Operator Algebras and Their Applications
2. A unified approach to the definition of anti-algebras
3. Quasi-derivations of Block Lie algebras $\mathcal{B}(q)$
4. Non-Existence of Abelian KS-Algebras in $M_n(\mathbb{C})$ for $n \geq 3$
5. Complex slices, inverses, and deformations of a three-dimensional real algebra
6. Products of Boolean Clones up to Minion Homomorphisms
7. The finite basis problem for varieties generated by all semirings of a fixed order
8. On the non-existence of a left-symmetric structure on osp(1|2) in any characteristic
9. Homogeneous symmetric trace-positive sextics with vanishing abelianization are sums of Hermitian squares and commutators
10. The six-element additively idempotent semiring $B_2^1$ is inherently nonfinitely based
11. Global obstruction property and its applications
12. Projective Differential Moment Invariants from the Viewpoint of Classical Invariant Theory
13. A 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real form
14. The $E_6$ normal forms: semisimple deformations, geometry, DT invariants, and the $E_{6,\infty}$ order
15. Hsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadrature

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-09/

1. A Proof of the Dittert Conjecture via Boundary Rigidity
2. Wells exact sequences for $n$-Lie algebras
3. Lower and Upper Lie Nilpotency Indices of Modular Group Algebras
4. Affine Schur--Weyl theory for loop Semigroups and polynomial representations
5. Structure theory of finite solvable Lie conformal algebras
6. A Counterexample to Left-Right Symmetry for Diagonal Auslander-Regularity
7. BiHom-Poisson conformal superalgebras arising from related algebraic structures
8. The rank of $3\times 3$ matrix multiplication over $\mathbb{F}_2$ is 23
9. An explicit tame factorization of the four-variable Anick automorphism
10. Sharp commutator bounds on complex simple Lie algebras: the B\"ottcher--Wenzel inequality and the comass of the Cartan $3$-form

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-08/

1. Symmetry and Invariant Theory of Quadratic Dynamics over Eight-Dimensional Composition Algebras
2. The algebraic classification of five-dimensional nilpotent right alternative algebras
3. From bosonized $\mathfrak{osp}(1|2)$ to liftings of the super Jordan plane
4. On computing deformations of contraction algebras of type E
5. $W$-algebras with involution: polynomial identities and asymptotic growth
6. Ramified Quivers with Potentials, Monodromy Characters, and Cluster Bases I
7. Higher Fomin-Kirillov algebras are infinite-dimensional

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-07/

1. Nilpotent Product Probability of Finite Rings
2. Diagonalizable modular derivations on bigraded Poisson spaces and Koszul duality
3. Extensions of Restricted Simple Modules for Restricted Lie Algebras of Cartan Type
4. Group-ring methods for Alexander quandle rings
5. Sparse Moore-local realisations of binary irreducible polynomials on near-square lattice regions
6. Moln\'ar's Theorem for split $C^*$-by-nilpotent algebras
7. New integer sequence OEIS A392714 counts Wronskians: fast evaluation via late-growing permutations
8. Effective computation of Moore-Penrose inverses over fields of rational functions by specializations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-06/

1. Generalizing the $A^A$ Problem for Finite Ordered Sets
2. Finite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$
3. Characterization of the centrally finite Amitsur-Small division rings
4. Generalized Commutator on Octonion Algebra
5. Formal Matrix Rings with the Involution Property
6. Hypergraphs associated to skew polynomial algebras and surface triangulations
7. A simple construction of a simple nil ring
8. Genus of quaternion algebras over formally real fields
9. Baer-Type Ring Characterizations of Steinberg Algebras, with Applications to Leavitt Path Algebras
10. Graded bimodules over split group algebras: stabilizers and Peirce decompositions
11. Non-dyadic Laver algebras
12. On Reversible Rings, Their Generalization and Quasi-Idempotent Elements
13. On the asymptotic Makar-Limanov rank conjecture
14. Suslin-Rao Codes : the bridge between pure and applied
15. Cartan inverse semigroups and twisted Steinberg algebras
16. An elementary proof of the Artin--Springer theorem for generalized quadratic forms over quaternion algebras
17. Symmetric Grassmann Formulas: Monotone Dimension-Defect Hierarchies

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-05/

1. Prime-Power Multiplicative Modular Monoid Morphisms
2. Nilpotency and nil subvarieties of binary Zinbiel algebras
3. (Super)nilpotency and solvability in algebras with zero
4. Invariant Rings of Adjacent-Quadratic Triangular Derivations
5. Signed seeds and G-gradings on cluster algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-02/

1. On extensive amenability of algebras
2. An Algebraic View of Amenable Groupoids
3. Rational linear forms of linearizable ordinary differential equations
4. Local and 2 local $\frac{1}{2}$-derivation of $n$-dimensional totally graded filiform Lie algebras
5. The Comon Rank Gap of a Third-Order Symmetric Tensor Can Exceed One
6. The Weight Criterion, Dong Property, and Manin Products of Operads
7. On a Rank Nullstellensatz Conjecture for Noncommutative Polynomials
8. The Derived Algebra of Nonlinear Polynomial Divergence-Free Vector Fields
9. Ideals of homomorphic images of the enveloping algebra of the Witt algebra
10. Invertibility of structured perturbations of singular matrices over unital rings
11. Contraction Algebras, Cyclotomic Forms, and Reflection Rigidity
12. Magnitude of module categories and special biserial algebras
13. Endomorphism algebras of Gorenstein-projective modules over string algebras
14. An Explicit Polynomial Counterexample to Connes' Embedding Conjecture
15. Dimension subrings of Lie rings
16. On The Index of Polynomial Compositions over Valued Fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-01/

1. Algebraic derivations and radicals of automorphism groups of algebras
2. Tensor factorization of local algebras
3. Quotient Morita Theory with Applications
4. Perspectivity and the perspective-Schr\"oder-Bernstein Property
5. A Koteljanskii inequality for permanents
6. Higher Cotorsion Pairs on Image-Nilpotent \(\eta\)-Extensions
7. Tilting mutation of gentle algebras and its combinatorial description
8. Tensor Product Does Not Behave Additively on Delooping Level
9. Lattice of 456 semigroup varieties from equations of order up to 4
10. Characterization Results on Generalized Smash Biproduct Hopf Algebras over the Partial Dual Construction
11. Discrete differential-geometric Poisson brackets: general theory and explicit constructions
12. Exact sequences of representation categories of weak Hopf algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-30/

1. Exponent Profiles of Oscillatory Matrices under Matrix and Inverse Sparsity
2. Gorenstein homological properties of n-trivial extensions of rings
3. Square matrices with integer eigenvalues under entry permutations
4. Irreducible $\mathbb Z_+$-modules over $\mathbb Z[\sqrt[m]{d_1},\sqrt[m]{d_2},\ldots, \sqrt[m]{d_r}]$
5. Representation of abstract pseudogroups
6. Schreyer Resolutions over the Exterior Algebra
7. Euclidean modules, submodules of their direct sums and strong reduced echelon form
8. Group-graded Ore extensions and graded simplicity
9. Zero divisors of Gorenstein Rings
10. A note on inverse limits of injective modules
11. Algebraic Vector Fields on $S^2$ are $2$-generated
12. The Karcher Mean on $2\times 2$ Triangular Matrices with Positive Diagonal Entries
13. Dirac operators for Cartan motion groups
14. A Note on Universal Positivity of Rank-Two Quantum Greedy Elements

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-29/

1. Algebras with Variable Structural Constants and Their Applications
2. Algebras with Variable Operator-Valued Structural Constants and Their Applications
3. Relative Global Dimension of Controllable Extensions
4. Augmentation-Ideal Realization of Special Nottingham Congruence Series and Cartier Indecomposables
5. Extremal Derived Length in the Unipotent Radicals of Cartan-Type Automorphism Groups
6. Dual reflection groups for three-dimensional Artin--Schelter regular algebras
7. $\Hom$-Lie structures on Lie algebras
8. Global and local triviality for extensions of ample groupoids: an algebraic approach
9. Conservative CSPs in Symmetric Linear Datalog
10. Commutative algebras are ideals of evolution algebras
11. On nilpotency in pre - Lie algebras
12. Non-degenerate bilinear forms and left-symmetric structures
13. A proper dg algebra which does not cogenerate
14. Strong and Explicit Forms of the One-Sided Nullstellensatz over Division Rings
15. Signed Euler--Smith Profiles of Graded Algebras
16. Gr\"{u}n's Lemma for Semiassociative Mal'cev Algebras
17. Non-commutative frieze patterns over quaternion algebras and other normed division rings
18. Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions
19. Nonunimodal principal spectra of Frobenius parabolic Lie algebras
20. Grothendieck rings of pivotal fusion categories of rank four
21. The Conway-Parker algebra and the largest Fischer group
22. Quasi-cellular categories and the structure of the Brauer category
23. The Karcher Mean on Lie Groups of Upper Triangular Matrices
24. A B\'ezout domain that is not an elementary divisor domain
25. Keller's conjecture for split finite-dimensional algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-28/

1. The Hua identity implies alternativity
2. The $m$-Invariant of Fields of Characteristic 2
3. Fast factorization in diagram monoids
4. Asymptotic completions of preordered semirings
5. Boolean Trusses as Rectangular Bands and Boolean Rings
6. The Hilbert Basis Theorem for Non-Associative Skew Power Series Rings and Non-Associative Skew Laurent Series Rings over a Non-Associative Coefficient Ring
7. Quantum Laurent positivity in rank three
8. Quasi-equivalence of relabeled positroid cluster structures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-25/

1. Duality for matrix space questions
2. On the Regularity and Clean Properties of Matrices over Dual Numbers
3. Differential perm bialgebras, differential perm Yang-Baxter equation, and their applications in related bialgebra structures
4. Failure of Ado-type theorems for preLie and postLie algebras
5. Total rings of quotients of higher dimensional Iwasawa algebras
6. Bi-Oriented Interlaced Matrix Multiplication and an Operator Factorisation of the Quantum Harmonic Oscillator
7. Multivariate Quandles as Groupoid Invariants

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-24/

1. Integral Dependence over One-Sided Ideals, Part II: G-Left Ideals and the K\"othe Problem
2. Phantom categories on 3-vertex directed DG quivers
3. Toeplitz multiplication and graded factorization of determinant recurrences
4. Controlling graded Lie algebras and cohomologies of double Lie algebras
5. Equality cases for matrix spaces with bounded-rank commutators
6. Some constructions of antisymmetric infinitesimal bialgebras and their applications to Lie bialgebras
7. Factorizable Lie conformal bialgebras, quadratic Rota-Baxter Lie conformal algebras and some induced structures
8. Braidings, duoidal categories and pre-Cartier structures for bi(co)modules
9. Almost subtractive submonoids of additive monoids and related quadratic forms
10. Ooms spectra of Frobenius maximal parabolics: strict unimodality and Euclidean log-concavity
11. Definite integral Albert algebras: arithmetic and finite geometry
12. Lifting $A_\infty$-structures through coverings with applications to fractional Brauer graph algebras
13. A 27 x 27 x 27 counterexample to Comon's conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-23/

1. Idempotent-free non-solvable evolution algebras over $\mathbb{C}$
2. Reflectors and the Globalization Problem for Partial Actions of Semiconstellations
3. On the Peirce spectral rigidity of decorated incidence algebras
4. On multilinear polynomial identities for $2\times2$ matrices in characteristic $2$
5. A counterexample to Enochs' conjecture under $V=L$
6. Graphs of Moore-Penrose inverse of matrices possessing the treeangle property
7. Stochastic realisers of non-degenerate full-degree Type II reduced Ito polynomials
8. Critical Invariant Polygons and the Farey--Ito Boundary of Stochastic Spectra
9. Frobenius functors and $n$-torsionfree objects
10. K\"ahlerian oxidation and reduction of Lie algebras with K\"ahler structures
11. Ext-groups of graded comodules
12. Representation-tame Gei\ss-Leclerc-Schr\"{o}er algebras and a revised GLS conjecture on root systems

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-22/

1. On the positive semidefinteness of a class of Hermitian Cauchy-like matrices
2. Positive Eigenvalues of Circulant Hadamard Square Roots
3. The $\phi$-conjugation of quaternionic matrices and generalized Autonne-Takagi factorization
4. $\boldsymbol{i}$-conjugate for quaternionic matrices and related properties
5. Associativity of the $\star$-product of skew braces
6. Symmetry reductions and recurrence degrees for banded Toeplitz determinants and permanents
7. Proof of Nobori's generalized B\"ottcher-Wenzel inequality conjecture
8. Universal Enveloping Algebras of Hom-Lie Algebras with $\alpha$-Derivations
9. Idempotent words in finite-dimensional simple Jordan algebras
10. Automorphic Transcendence Degree, Growth, and Skew Normalization
11. The Auslander--Reiten conjecture for quantum complete intersections
12. Local Derivations on Conformal Galilei Algebras and Their Central Extensions
13. Automorphism Groups of Three-Dimensional Leibniz Algebras: A Complete Description
14. Derivation Algebras of Three-Dimensional Leibniz Algebras: A Complete Description
15. Semicommutativity via Zero-Insertive Elements: Insights from Path and Leavitt Path Algebras
16. On the existence of divisible non-injective modules over Leavitt path algebras
17. When twist of a Leavitt path algebra is again a Leavitt path algebra
18. Terminal Ambiguity Geometry for Finite-Dimensional Algebras
19. Skew braces whose left series is not generated by right-normed star products
20. From $\tau$-tilting to $\tau_2$-tilting via splitting tilting triples
21. The Coproduct of Ideals and the Coprime Spectrum
22. Transferred $L_\infty$-structures and a classification of binary brackets for finite-dimensional skew-gentle algebras
23. 2-step ideals and commuting matrices
24. $\aleph_m$-presented Gorenstein flat modules and Gorenstein dimensions of groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-21/

1. Just-Infinite Loops and Loop Algebras
2. A classification of group gradings on incidence algebras over commutative rings
3. Local and Quasi Derivations of the Mirror Heisenberg-Virasoro Algebra
4. Noncommutative resolutions of noncommutative isolated singularities
5. Super adaptable graphs and the realization problem
6. Structure and Representations of Restricted Lie color triple systems
7. Restricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structures
8. Cohomology, Extensions and Deformations of restricted Lie triple systems

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-18/

1. A Characterization of Local Nilpotence for Derivations of Ore Extensions
2. Locally finite Schreier Varieties
3. On the trace identities of 2-dimensional tr-prime algebras over a finite field
4. Generalized $t$-Fine and Quasi $t$-Fine Rings
5. On $\ast$-Reversible and Generalized $\ast$-Reversible Rings
6. Transposed Triple Products and Pro-Symmetric Rings in $\ast$-Rings
7. Induced and Restricted Representations of Kumjian--Pask Algebras of Higher-Rank Graphs
8. Range-compatible homomorphisms on Hermitian matrices
9. Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with transpose superinvolution
10. Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with $G$-graded involution
11. Directed partial orders on the complex number field
12. Tachikawa's second conjecture implies the Auslander-Reiten conjecture
13. Canonical resolved-transport decomposition and reconstruction of local-unit-aligned ordered semigroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-17/

1. Fuzzy subhyperspaces generated by admissible mappings
2. Growth functions of algebras and an application to Leavitt path algebras
3. A parity obstruction to completeness of object cotorsion pairs
4. On the number of modular pairs in finite dimensional Lie algebras on finite fields
5. Localizing the Gardam unit: the support geometry of units in F_2[P] and its non-unique-product relatives

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-16/

1. Relative commuting probability and BFC-type results for finite skew braces
2. Regular Sublattices, O Closed Ideals and Dedekind MacNeille Completions
3. The prime spectrum of the talented monoid of a higher-rank graph and applications
4. Reduction techniques for the derived delooping levels
5. A Differential Algebraic Framework for Boundary Layer $\alpha$-Models

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-15/

1. Constructive recurrences for determinants and permanents of banded Toeplitz matrices
2. Dedekind Poisson Algebras over Arbitrary Fields
3. On the Structure of Low-Dimensional Poisson Algebras over Arbitrary Fields
4. On flat pseudo-Euclidean solvable Malcev algebras
5. Extending structures for the linear framework of Universal Algebra with applications to transposed Poisson algebras
6. Matrices over non-commutative rings as sums of fifth and seventh powers
7. Yang-Baxter permutation group actions on distributive Yang-Baxter algebras
8. Fast tensor transforms and ring-valued orthogonal matrices: an application to cryptography
9. PHP decompositions and primitivity of group rings for linear groups
10. The K\"othe conjecture via point modules
11. Quaternionic Reflections and Lie Generation in $G_2$
12. On implicit operations and balanced categories
13. The Cuntz semigroup of rings with stable rank one
14. One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras
15. Basis Rigidity of the AES S-box and Generic Rigidity of Inversion under Affine Transformations
16. Simple Harish-Chandra bimodules in positive characteristics
17. Acyclic quantum cluster algebras via Hall algebras associated to cluster categories
18. Igusa--Todorov Algebras and the Auslander--Reiten Conjecture
19. Essential quotients of the cohomology of products of symmetric and alternating groups
20. New runner removal theorems for the cyclotomic Hecke algebras of type $G(r,1,n)$
21. Generating hypotheses along the motivic deformation
22. Mixing Extriangulated Model Structures
23. Laurent Symmetric Functions
24. Integral quiver presentations for $\mathscr R$-trivial semigroup algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-14/

1. Notes on Reversed Products of Two Elements in Rings
2. On the growth of Lie algebras and Jordan algebras
3. Uniqueness of Rank-Metric Completions of Bratteli Systems

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-11/

1. Invariants of Nilpotent Lie Algebras via Geometry and Algebra with a Focus on Computation
2. Quasilinear multiplication in the real Cayley--Dickson tower
3. Graded classification of Leavitt path algebras in terms of strong shift equivalence

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-10/

1. A Simple Way of Getting Large Examples of Osborn Loops
2. A Truncated Singular-Value Bound for Spectral Variation of Normal Matrices
3. Orthogonal completion of algebraic systems II
4. A quaternionic construction behind $841$-point kissing arrangement in ${\mathbb R}^{12}$
5. A note on idempotents in quandle rings
6. Local derivations is a Lie algebra
7. Homomorphisms and subalgebras of free convex semilattices
8. A nonfinitely based additively idempotent semiring that is not strongly nonfinitely based and generates a limit variety
9. Linear Preservers of Infinitely Divisible Matrices
10. Classification of Nijenhuis operators on three-dimensional multiplicative simple Bihom-Lie algebras
11. Deriving Newton's Canonical Forms of Cubic Curves via the Center of Polynomials
12. A counterexample to Huang's weak majorization conjecture
13. Lifting strongly graded rings via overgroups
14. A note on generalized distributive sets of a finite Dickson nearfield
15. Weak central polynomials for algebras of multiplications of simple algebras
16. Amenability of Lie, Group and Hopf algebras
17. A counterexample to the periodicity conjecture for finite-dimensional algebras
18. A Counterexample to a Conjecture of Liu and Qian and a Refined Inverse Theorem for Restricted Sumsets in $\mathbb{Z}_p$
19. Finiteness and growth of brick chain filtrations
20. Hyperbolic distance matrix completion

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-09/

1. Extremal Rota-Baxter operators on matrix algebras
2. Finite-Sample Rigidity for Left-Translated Similarity Orbits and Off-Diagonal Quadratic Realizations
3. Integral Dependence over One-Sided Ideals, Part I: Foundations and Classical Applications
4. Cohomology theory of Novikov algebras and applications
5. Generic Nullity of Generalized Commutators
6. Filtered deformations of three-variable polynomial algebras
7. $\delta$-Mock-Novikov Algebras: Structural Theory, Operad and Poisson-Type Constructions
8. A \(3\times 3\) counterexample to Lin and Wimmer's rank-minimization conjecture associated with Roth's similarity theorem
9. Higher-dimensional generalized quasiorders
10. The Classification of the Rota-Baxter Operators on Four-dimensional Grassmann Algebra
11. Three-Dimensional Geometry in Exceptional Algebra
12. The Pozhidaev and Cantarini--Kac Constructions of Simple $n$-Lie Algebras: Distinctions and Realizations
13. A counterexample to K\"othe's conjecture and a question of Rowen
14. A polynomial criterion for Jordan elements in a free associative algebra
15. A vanishing criterion for Lie elements in a free Novikov algebra
16. Direct-product rigidity and factor reconstruc- tion for monoids with zero
17. Minor-Order Exponent Profiles of Oscillatory Matrices
18. Slice regular functions on alternative *-algebras : prescribing zeroes and values on discrete sets and related extension problems
19. A new characterization of arithmetical categories and Pixley's theorem
20. Exactness of the 2-categories of abelian and triangulated categories
21. On the Matlis Reflexive Modules
22. A two-categorical Snake Lemma
23. (Semi-)Models for Slice Regular Functions on Real Division Algebras
24. A Solution to Iima--Yoshino Problem 2.3
25. An overlooked weakening of perfect normality: Perfect regularity in spaces and locales
26. Chain rule symmetry for singular SPDEs from multi-indices to decorated trees
27. Quasi-projective dimension and Gorenstein projective dimension
28. New Symbolic Procedures in the Study of Dynamical Systems
29. Homological properties of quantum groups governed by small quantum groups
30. Double cross products with projections and relative Rota-Baxter operators on Hopf algebras
31. General linear and Steinberg groups over the Leavitt algebra $L_{\mathbb F_2}(1,2)$
32. Partial $F$-invariants and cluster categorifications

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-07/

1. Factorization of central polynomials over division algebras
2. Lie Ideals and Lie Derivations of the Algebraic Toeplitz Algebra
3. The ozone group of $U_q^+(B_2)$
4. Extending Structures for $n$-Lie Algebras
5. Explicit Super-Linear Algebra over K[{\theta}1, {\theta}2]: A General Berezinian Correction Formula and Multiplicativity Theorem for Arbitrary Block Size
6. Universality in the algebra and topology of cographs
7. Representation Redundancy and Structural Complexity in Finite-Field Inversion

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-04/

1. Isomorphisms of graded semiconnected algebras
2. Construction of $n$-cotorsion pairs in some abelian categories
3. Singular equivalences of $n$-adjoint type and standard eventually homological isomorphisms
4. Beth companions of finitary essentially algebraic theories
5. Fourier Analysis and Idempotents in Quandle Algebras
6. Koszul Orlik--Solomon Algebras from Non-supersolvable Arrangements
7. Additive diameters and covering complexity of irreducible representations
8. Factor-parity Hall sets and controllability

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-03/

1. On Strongly $m$-$\Delta$-clean ring
2. Orthogonal completion of algebraic systems
3. Integrable Generators of Polynomial Vector Fields for Complex Classical Lie Groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-02/

1. Integral coefficient rings and homological dimensions of algebras
2. An Algebraic Framework for Data Systems: Classification and Optimization of Algebraic Structures for Data Organization and Coding
3. Hopkins-Levitzki Type Theorems for Groupoid Graded Rings
4. Singular Cholesky Fibers over Finite Fields
5. Homological aspects of n-trivial extensions of rings
6. The injective envelope of simple modules over Leavitt path algebras I: simple left ideals
7. The injective envelope of simple modules over Leavitt path algebras II: simples arising from exclusive cycles
8. Peirce Stability of Null Polynomials and a Sharp Radical Bound for Finite Rings
9. Deformation theory and the controlling $L_{\infty}$-structure of extended Rota-Baxter algebras
10. Global representations of algebras with a near-unanimity term
11. Deformed Convolution, Cumulant Transforms, and Semigroup Generators in Hurwitz Series Rings
12. From Common-Slot Chains to Heisenberg Central Products over Global Fields
13. On Braided Differential Calculi and Quantum G-structures
14. Diagrammatic Okada monoid and cellularity of the Okada algebra
15. Quantum Hopf rigidity in symmetric monoidal categories

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-01/

1. A Two-Dimensional Counterexample to Radical Equality in Primitive Axial Algebras
2. Type of homomorphisms of complex tori
3. Laws for triangular matrices
4. Corrigendum to "A Characterization of the Unit Group in Z[T x C_2]"
5. Classification of Novikov-Poisson Algebras and Their Applications
6. Graded Identities of the Virasoro Algebra
7. Spaces of triangularizable matrices (III): Perfect non-quadratically closed fields with characteristic $2$
8. The ozone groups of the algebras $B_q(f)$
9. Degree-shifted derived invariance of derived delooping levels
10. Deformations and the controlling $L_{\infty}$-structure of extended Rota-Baxter Lie algebras
11. Congruence-simple multiplicatively idempotent semirings and multiplicative divisibility
12. Polynomial joint first-order differential projective invariants
13. On Completeness of $n$-ary Hom-Nambu and Hom-Lie Superalgebras
14. Lie nilpotency index of skew symmetric elements in group algebras
15. $\sqrt{\Delta}$-Fine Rings
16. Irreducible $\mathbb{Z}_+$-modules over some $\mathbb{Z}_+$-rings
17. Prime ideals and representations of the bosonization of the super Jordan plane
18. Properties of the $\mathcal V$-Monoid of Weighted Leavitt Path Algebras
19. Bounded $t$-structures on the category of strongly bounded objects
20. Model structures on the category of Q-shaped modules
21. Triangulated polygons and Y-frieze patterns
22. Poisson bialgebras by deformations-to-quasiclassical limits
23. Transfer of Wakamatsu tilting modules along Frobenius extensions
24. An Abstract Index Theorem via Rees Algebras
25. Auslander correspondence for higher stable dg categories and cluster Morita theory
26. Linear independence of global monomials on positive spaces
27. On the equivalence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisation

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-31/

1. Integral Orders for the Okubo Algebra and Idempotent Geometries of the $E_8$ Lattice
2. Commuting graphs of Okubo algebras
3. Orthogonality graphs of real Cayley-Dickson algebras. Part II: The subgraph on pairs of basis elements
4. Orthogonality graphs of real Cayley-Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons
5. On Locally Finite Derivations in Ore Extensions
6. Acyclic and totally acyclic objects in the $Q$-shaped derived category
7. Self-Orthogonal $\tau$-Tilting Modules and Tilting Modules II: Annihilator Separation
8. An algebraic proof of Colombo's difference-power determinant conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-28/

1. Quantales as formal concept lattices
2. Functional identities of degree 2 at two-sided zero products on incidence algebras
3. Diameter of the commutativity graph of the real sedenions
4. On doubly alternative zero divisors in Cayley-Dickson algebras
5. Relation graphs of the sedenion algebra
6. Very good gradings on structural matrix rings
7. Free Novikov-Zinbiel algebra
8. The weak bialgebra structures on $\mathbb{k}^{\oplus n}$
9. Finite semisimplicial sets, differential graded algebras, and cellular sheaves
10. Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-27/

1. Hereditary QF-$3^{+}$ rings
2. Cohomology and extensions of Novikov algebras of truncated polynomials
3. Some results on null ideals of finite rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-26/

1. An Explicit Counterexample to the Rank-Two Poisson Conjecture
2. Construction of diassociative bialgebras from antisymmetric infinitesimal bialgebras and related algebra structures
3. Free left $h$-Ehresmann semigroups
4. Torsion and exactness
5. A counterexample to a global-dimension bound for weighted projective lines
6. Borel completeness of $R$-modules when $R$ fails the DCC on pp-definable subgroups
7. Integral quadratic forms over a ring of $p$-adic integers
8. Braces on the cohomology of noncrossing 2-partitions
9. The bracket width for Lie algebras of vector fields is finite

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-25/

1. Integrable Generators of Algebraic Vector Fields for Real Connected Semi-simple Matrix Groups
2. Quantum regularity of finite dimensional semisimple algebras
3. Leibniz bialgebras constructed by tensor product from Lie bialgebras and perm bialgebras
4. Hochschild cohomology and AS-Gorenstein property of weak Hopf Galois extensions
5. Extended $\mathcal{O}$-operators, extended perm Yang-Baxter equations and related structures
6. Leibniz algebras and their connection to Jordan pair disystems
7. Marshall Quotients of the Rings $\mathbb Z/n\mathbb Z$
8. Partial Progress on Stone's Conjecture: $P_0$-Membership of Fully Semimonotone Matrices with Positive Determinant
9. Fundamental Algebras and Varieties with Quadratic Codimension Growth
10. Three-dimensional simple real Bol algebras
11. Duality Between Injective Envelopes and Flat Covers over Noether Algebras
12. Exact Finite-Length Theory of Uniform Car Parking: Spatial Laws, Absorption, and Aggregation
13. Compressed sensing matrices from orthogonal spaces over finite fields of odd characteristic
14. The Cartan determinant conjecture for representation-finite algebras
15. Least-Squares and Low-Rank Approximation for Linear Relations Using a Diagrammatic Language

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-24/

1. Barr-Exactness and Congruence-Based Homological Algebra in Ternary $\Gamma$-Semimodules
2. Projectivity and flatness over the endomorphism ring of a finitely generated $(H, {\mathcal C})$-comodule
3. $N$-Koszul algebras of finite global dimension for $N\geq 3$
4. The Parafree Conjecture for associative algebras
5. Module-Valued 2-Local Derivations on Reductive Lie Algebras
6. A note on $N$-Koszul algebras of finite global dimension
7. \c{S}tefan spectral sequence for faithfully flat Hopf Galois extensions is multiplicative
8. Products of Nilpotent and Idempotent Matrices over Finite Local Rings
9. A negative exponent range for Audenaert's complementary McCarthy trace inequality
10. The general linear groupoid of a Leavitt path algebra
11. Fully non-zero matrices and generators of full algebras of operators
12. A probabilistic approach to the Yang--Baxter equation and skew braces
13. Tilting Completion and Self-Orthogonality Modules
14. Adjoint Closures of Singular Pairs of Quadratic Forms and a Pfister-Type Criterion
15. Locally Acyclic Surface Type and Finite Type Cluster Algebras Have No Mysterious Points
16. The first tight classification of skew-constacyclic codes over finite fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-21/

1. A New Impossibility Region for the $5\times5$ Symmetric Nonnegative Inverse Eigenvalue Problem
2. Disuccessors, Gr\"obner-Shirshov bases and free L-dendriform algebras
3. A rock-paper-scissors Mandelbrot set
4. The lattice of abstract elementary classes of modules
5. Recollements of derived categories from $n$-term big tilting complexes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-20/

1. Entrywise Positivity Preservers on Green Matrices
2. A left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$
3. Structure and Complexity of 2-Nilpotent Mal'cev Algebras
4. Positivity preservers over finite fields II
5. The $6\times6$ equality case of matrix spaces with rank-two commutators
6. New Nonexistence Results for Circulant Weighing Matrices
7. Maximal ideals in the finitary symmetric group algebra in characteristic two

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-19/

1. Decomposition of a square matrix into a product of a nilpotent matrix and an involutive or idempotent matrix
2. Positive definite, positive semidefinite and totally positive matrices over finite fields
3. A strongly compact cardinal yields a left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$
4. Deformations and homotopy theory of Rota-Baxter Lie algebras
5. An equidistribution conjecture for quotient-closed and submodule-closed subcategories

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-18/

1. $F$-congruences on $F$-inverse monoids
2. On Locally Generalized radical linear groups over rings
3. Affine Nilpotency and Engel's Theorem for Lie Affgebras
4. Some results on Hom-Novikov superalgebras and Hom-anti-pre-Novikov superalgebras
5. Eigenvalues of locally positive semidefinite matrices: Non-convexity and Geometry
6. Support $\tau$-tilting posets and Hochschild reconstruction for matrix centralizer algebras
7. Superalgebras and Algebras with Involution: Classifying Cubic Codimension Sequences
8. Modified induction and a torsion-theoretic equivalence for relative BiHom-Hopf modules
9. On Noetherian pointed Hopf algebras
10. Symmetry of self-injective dimensions under the Auslander condition
11. Transpose Symmetry of Injectivity over Commutative Semirings
12. Comaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts and structural invariants
13. A short note on the image of multilinear graded polynomials on matrix algebras
14. Entrywise Loewner Preservers on Min and Max Matrix Cones
15. Finitistic dimension via modules over the singularity category
16. A note on the $\mho$-quiver

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-17/

1. Sum of two strictly n-zero matrices
2. Mittag-Leffler Conditions, Gorenstein Modules and Homological Invariants
3. Local Smith Profiles of Twisted Calabi--Yau Algebras
4. Cleft Extensions for Hopf Algebroids without Antipodes
5. A counterexample to a question on the maximality of purely-primes
6. Brauer graph algebras are closed under stable equivalence of Morita type

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-14/

1. Some more talents of the talented monoid of a higher-rank graph
2. Injective Rota-Baxter operators of weight 1 on $F[x]$
3. Integer-valued polynomials over structural matrix rings
4. Null polynomials over a finite ring need not form a two-sided ideal
5. Simple double Lie algebras on the Laurent polynomial space
6. The Tropical Algebra of Binary-Tree Height
7. From Lie--Rinehart Algebras to $F$-Manifold Algebras
8. Absolutely flat algebras in tensor categories

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-13/

1. Bivariate quaternionic factorizations and surfaces that decompose into two circles
2. The finite basis problem for the flat semirings $S(W)$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-12/

1. Direct Sum and Direct Product Decompositions of Multivariate Functions
2. Hybrid core-EP-$(b,c)$ inverses in rings
3. On the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring Isomorphisms
4. Fixed-Lowering $\mathfrak{sl}_2$-Triples for Laurent-Shift Operators: Exact Stencil Endpoints and Recurrence Locality
5. Balanced pairs of Cartan-Eilenberg complexes over virtually Gorenstein rings
6. Decomposition-Closed Sublattices as Minimizer Sets of Modular Functions over Distributive Lattices
7. Virtually Gorenstein Artin algebras are weakly Gorenstein
8. Reconstruction of Torsion-Free Abelian Groups from Rational Group Fields
9. Mutation-preserving generalized cluster algebras and Laurent mutation invariants
10. Armendariz ring property via idempotent elements
11. Differential varieties of upper triangular matrices
12. Normality of Relative Elementary Tranvection Groups
13. Polynomial Bounds on Degeneration Order from Commutativity Properties of Tensor Slices
14. Spaces of subobjects as spectral spaces
15. Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-11/

1. Amenability is not sensitive to the base field
2. Determinant Factorization of Left Multiplication in the 32 Dimensional Cayley Dickson Algebra
3. Points with Commuting Coordinates over Division Rings
4. $R$-Bunce-Deddens Algebras
5. Pre-symplectic left-symmetric algebras
6. Gorenstein homological dimension of group extensions
7. Free nearrings
8. An extension theory and semidirect sums for nearrings
9. Permutation Ploynomials over $\mathbb{Z}_{n}$ and T-quaternion Rings
10. A further study of quandles and quandle rings
11. Annihilator Digraphs and Extended Zero-Divisor Digraphs of Semigroups and Rings
12. Decompositions of Griess algebras beyond the OZ-setting
13. On minimal noncommutative rings
14. Elementary first integrals of integral differential systems
15. Principal-unit Di\c{t}\u{a}-type Butson matrices: character-table transitions, fractional-linear automorphisms, Weyl thresholds, and polarized Heisenberg windows
16. GIM and Elliptic Lie algebras via Ringel--Hall Lie algebras
17. Which numbers are $u$-invariants of perfectoid fields?
18. A proof of the cyclotomic conjecture and the non-existence of almost Moore digraphs
19. Rickard's question on standard derived equivalences
20. A general paracontrolled ansatz for singular SPDEs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-10/

1. Post-Poisson algebras, extended $\mathcal{O}$-operators and extended Poisson Yang-Baxter equations
2. Noncommutative Rational Sums of Squares in Free Algebras
3. Comparing self-dual corings, Frobenius corings and Ringel self-duality

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-07/

1. Linearisation, splitting property and homotopy algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-06/

1. Solvable Quadratic Lie algebras up to dimension 7
2. Two absolutely bounded determinantal ratios
3. Composition algebras in symmetric tensor categories
4. On abelian complex structures on Nilpotent Lie Algebras
5. Gradings by cyclic groups on classical simple Lie algebras in prime characteristics
6. A variation of Eichler's proof of the Baker-Campbell-Hausdorff formula
7. Kemeny's constant and Braess cliques in graphs
8. Scattering diagrams for Artin algebras
9. The Born Representation Theorem and the Unistochastic Theorem
10. On simples in a cosilting heart and mutation of cosilting pairs
11. Associative/Lie radical (co)invariance under tracial (co)actions
12. Near-Rings and Skew Braces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-05/

1. Hom-Poisson superalgebras with nondegenerate bilinear forms and compatible Hom-anti-pre-Poisson superalgebras
2. Finite-field Krasner quotients: isomorphism thresholds, characteristics, and censuses
3. A Martindale-like Ring of Quotients for any ring
4. A note on some upper bounds for the Frobenius norm of the $q$-deformed commutator
5. Protected corners and a trichotomy for Han's conjecture
6. Cyclic-by-abelian counterexamples to the second and third Zassenhaus conjectures
7. Primitive central idempotents of a finite group over a field
8. Fixed Points, Stability, and Basin Geometry of the $3\times 3$ Correlation Map
9. Point modules of Nichols algebras over non-abelian groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-04/

1. A counterexample to Han's conjecture
2. Dynamics on graphs with disjoint cycles and applications
3. Clifford Algebra Calibration Post-Quantum Cryptography
4. From Eigenvalues/Eigenvectors of Hypermatrices to Canonical Form of Tensors
5. On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras
6. Non-finitely Presented Lie Algebras of Type $FP_2$
7. On noncommutative Hom-anti-pre-Poisson superalgebras and related structures
8. Idempotents, automorphism groups, and commutator widths of quandle algebras
9. Invertible linear preservers of semipositive matrices - a dimension free approach
10. Theory of extension of commutative poisson algebra
11. Kaplansky classes and stability
12. Chevalley-Eilenberg cohomology of linearly reductive Lie algebras in the Verlinde category
13. Undecidability of the Diophantine problem for one-relator groups and one-relation monoids

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-03/

1. Alternating Quinary Cores of Complete Atomic Ternary $\Gamma$-Semirings: Representation, Binary-Collapse Rigidity, and Witness Geometry
2. Additive preservers of permanent rank
3. Monomial Rota-Baxter and averaging operators on $F[x, x^{-1}]$
4. Regular Borel subalgebras of the Lie Algebra of Aut($\mathbb{A}^2$)
5. Higher-Dimensional Symbolic Dynamics: A Textile Framework For 3-graphs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-31/

1. A Bounded Determinantal Ratio for Positive Definite Matrices
2. On equivalence classes of dissipative Hamiltonian pencils
3. The Type III realisation conjecture of Kirkland and \v{S}migoc
4. Hidden decay in the inverses of acyclic matrices
5. Inverse acyclic Z-matrices, matrices of tree structure and shifted generalized ultrametric matrices
6. On phi-(k,n)-absorbing delta-primary hyperideals
7. Certain functional identities on matrix rings
8. Polynomial Maps with Constants over Division Algebras and the Generalized Kaplansky--L'vov Conjecture
9. The geometric classification of left-symmetric algebras and superalgebras
10. Mixed-identity-freeness and primitivity of group rings
11. An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence
12. $\mathsf{SKB}$ is not algebraically coherent

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-30/

1. Automorphism Group of the Spectral Incidence Graph over Finite Fields
2. SNT-Rank: Kronecker Products and Euclidean Distance Matrices
3. On purity of Anderson t-modules
4. Algorithms for Linear Ordinary Differential Operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-29/

1. Positive definite matrices and involutions: the manners of their infinite cousins
2. Closure operators on semilattice-ordered semigroups and spectrality of induced operations
3. Iterate Wronskians over $\mathbb{R}^d$ as $N$-ary brackets on $\mathbb{R}[x^1,\ldots,x^d]$: the $N$-bonacci numbers bound the highest total degrees
4. Hyperstructures as complete atomic Boolean algebras
5. Nijenhuis modules and the ring of Nijenhuis operators
6. Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras
7. On the flatness of the Bergman space as a module over the Hardy algebra
8. Hochschild Cohomology of the Symmetric Square of an Annulus with Stops

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-28/

1. Non-isomorphism of rings of integer-coefficient holomorphic functions on disks of varying radius
2. Local Derivations on a Block-type Lie Algebra
3. Local and 2-Local automorphisms of n-dimensional totally graded filiform Lie algebras
4. Cohomological dimension of a Lie algebra homomorphism
5. General Polynomials and Eigenvalues Over Cayley--Dickson Algebras
6. A canonical rigid direct-system representation of finite local-unit-aligned totally ordered monoids
7. Residual coherentization of balanced residuated partially ordered semigroups
8. A Counterexample to Byott's Conjecture for Finite Skew Braces
9. The factorization system of a radical on a homological category
10. Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories
11. On the automorphisms of numerical power monoids
12. A Hopf algebra on permutations with a coupling product
13. A Grothendieck category with a noetherian generator and exact products that is not a module category
14. On the distributivity of the subtractive closure operator over ideal operations in hemirings
15. Counterexamples to Norm Conjectures of Wehlau in Modular Invariant Theory
16. On the two-copy distillability of Werner states and a new partial trace inequality
17. Infinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect Fields
18. Trace radicals and cocenters of free products

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-27/

1. Level Quotients of Free Metabelian Lie Algebras: Inverse Systems and Graded Deformations
2. $n$-Absolutely pure and $n$-flat modules, revisited
3. Dynamics Decomposition of Boolean Networks: An algebraic foundation
4. Quotients of mosaics and related hyperstructures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-24/

1. A note on symmetric midpoint algebras, or scales
2. The space of two-dimensional vectors over a four-dimensional division algebra over $F_2$
3. Surjectivity of Engel Maps over trace zero matrices in $\mathrm{M}_2(\mathcal{O})$
4. Jordan algebras, hemiplex numbers, and the Cholesky decomposition of arbitrary symmetric matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-23/

1. Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals
2. A Reduced-Trace-Zero Element That Is Not a Commutator in a Central Division Algebra
3. Dittert's conjecture in dimension 16 via a joint-deficit scaling lemma
4. Derived representation schemes with arbitrary coefficients and associative smoothness
5. A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots
6. A Matrix-Degree Obstruction to Rational Generation of Boolean-Lattice Pseudo-Roots

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-22/

1. Basic Zero Divisor Mathematics (I)
2. A Counterexample to Wehlau's Conjecture on Noether Numbers
3. Remainders of generalised Taylor expansions and a priori bounds for rough differential equations
4. On the Slice Rank of Tensors in P-Echelon Form
5. On the autotopism groups and the equivalence of finite cyclic semifields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-21/

1. Directed Extended Zero Divisor Graphs Of Non-Commutative Semigroups
2. The group $\mathrm{TK}_1$ of graded and valued division algebras
3. Hochschild theory of multiplicative sequences of algebras and coalgebra measurings
4. Affinization of algebraic structures: Poisson algebras
5. Cohomology for Deformation maps on quasi-twilled Lie triple systems
6. Expanding Generalized Fine Rings
7. A Log-Log Saving for Matrix-Algebra Length and Terseness
8. Clifford and Weyl algebras in symmetric tensor categories
9. Variations on a circular Hessenberg pair
10. Skew CRT codes and their decoding in poly skew metric
11. Totally Positive Matrices and the Highest-Order Coefficients of the Characteristic Polynomial

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-20/

1. New partial orders on Rickart *-rings
2. Bounds on Frobenius dimension
3. Direct Methods for Singular Fuzzy Linear Systems Using Generalized Inverses and Its Applications
4. Notes on universal C*-algebras
5. On Generalized von Neumann Inverse Graphs of Finite Commutative Regular Rings
6. The Mathieu group ${\sf M}_{12}$ vs ${\mathbf{SL_3(3)}}$ in characteristic 3

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-17/

1. $m$-nil-clean nonderogatory matrices
2. Quotients of strongly graded quasi-Hopf algebras
3. Large affine spaces of symplectic forms
4. On the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution Algebras
5. In Memoriam: Professor Dr. Winfried Bruns (1946--2026)

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-16/

1. Words don't come easy: strong affine representations of the polycyclic monoids
2. Involutions of (twisted) diagram monoids
3. Gaussian solutions to the Yang--Baxter equation and their twists

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-15/

1. Dual orthogonal tripotent matrices
2. Initial pre-algebras as a generalization of dendriform algebras
3. Quantum algorithm for Clifford multiplication
4. The Center of the Temperley-Lieb Algebra
5. Algebraic structures on non-Archimedean Urysohn universal metric spaces
6. Clifford semigroups and the monoidal Grothendieck construction

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-14/

1. Undecidability of the quasi-isomorphism problem for semi-free dg algebras via the cobar construction
2. Higher-power inverse functional identities and Frobenius collision obstructions
3. Universal optimality of the double-centred matrix under unitarily invariant norms for dissimilarity data
4. Completing the rank identity for Hadamard powers of Euclidean distance matrices
5. Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification
6. The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$
7. Commutativity of Factor Ring R/P via *-Reverse P-Derivations
8. Commutator-based Solutions to $AXA = XAX$ when $A^n = tA^2$
9. Generalized EP properties of (b c) inverses
10. Matrix generators for the unit groups of $L_K(1,d)$
11. Extended generalized permutahedra, and cointeracting bialgebras
12. Poisson derivations and cohomology of Poisson nilpotent algebras
13. Superconformal algebras over arbitrary rings of coefficients
14. Higher Structures of Rota--Baxter Lie $H$-Pseudoalgebras
15. Counterexamples to a multivariable matrix Young conjecture
16. The Dirac equation in (split-)octonions: origins, variants, and modern context
17. Homological rigidity of quiver representations over $\mathbb{F}_1$
18. Properties of the Tropical Characteristic Polynomial of Symmetric Matrices
19. $\mathfrak{so}_n(\mathbb{C})$-modules which are free over an abelian nilradical
20. Global dimension of a string algebra

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-13/

1. On Polar Decomposition of Dual Matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-10/

1. Waring Problem for matrices over finite local rings
2. A majorization relation for a sum of two tensor products of positive semidefinite operators
3. Invertibility of Anticommutator and Commutators of Higher Degree of $n$-potent Elements
4. On Complement and Supplement Ideals of Nearrings
5. On $q$-pre-Lie algebras
6. A technique for computing oriented cohomology rings of semisimple algebraic groups
7. A Study Of Skew-Polycyclic Codes Over A Non-Chain Ring
8. Proof of Rump's Retraction Conjecture for Quasilinear Cycle Sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-09/

1. Graded Locally Finite and Just Infinite Steinberg Algebras
2. Mutation matrices from Poisson CGL extensions
3. On the simplicity of Katsura algebras
4. Maximal-Hull $z$-Ideals, Congruence Closures, and Coherent Frames of Commutative Semirings
5. Lattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity $x^{2^n}\approx x$
6. Noncommutative vector field calculi

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-08/

1. Finite dimensional zero Jordan product determined algebras are generated by idempotents
2. Automorphism group schemes of Kantor pairs of associative central simple structurable algebras
3. Lie and Jordan Isomorphisms of Algebras of Triangular Matrices over Associative Rings
4. Circular Hessenberg pairs and the tridiagonal relations
5. Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-07/

1. Fusion rules from the Norton inequality
2. Lie algebras and coherence
3. Some terminal orders on 3-folds
4. Affine cellular algebras and asymptotic algebras
5. Piecewise Symmetric Tensors

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-03/

1. Bimodules in differential polynomial rings
2. Pure infiniteness and primary factorisation

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-02/

1. Solvability and nilpotency of transposed Novikov-Poisson algebras
2. The Equivalence Problem for Generalized Airy Operators
3. Local (Anti-)Superderivations on Nilpotent Lie Superalgebras
4. Sums of units in finite rings and applications to Cayley graphs
5. On a new class of high-corank Kac-Moody algebras
6. Hopf algebraic homogeneous spaces interpreted rationally: the Abe-Kanno theorem
7. Fukaya categories of Coulomb branches as unique deformations
8. Residual finite-dimensionality of ultragraph algebras via branching systems
9. Large silting mutation in extriangulated categories
10. Double Transposed Poisson Algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-01/

1. Prime spectrum and representations of the super Jordan plane
2. Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras
3. Random generation of the special linear Lie algebra over finite fields
4. Embedding a graded matrix algebra into an elementary graded
5. On a family of liftings of the Jordan plane
6. Intersection theorems over DG-rings revisited

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-30/

1. Deformation maps on quasi-twilled Lie conformal algebras
2. The PI property of skew PBW extensions
3. Pure projective tilting modules associated with a special ring and Goresntein properties
4. Axial Algebras: Questions and Conjectures
5. Steinberg Algebras of Ample Semicategories and their Boolean-Cartan Restriction Semigroups
6. An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors
7. On the Cohomology of Cyclic Associative Algebras
8. Quadratic Spaces and Orthogonal Groups over semilocal Rings
9. Braided cogroupoids
10. On homological finiteness properties and free inverse monoids
11. The Schur--Zassenhaus Theorem for finite skew braces
12. Cohomology rings and $p$-local behavior of even Artin groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-29/

1. Commutative algebras satisfying univariate identities with vanishing Peirce polynomial
2. Involutions in the Cayley-Dickson construction
3. Coordinate projections of $c$-vectors of cluster algebras from the annulus
4. Chain conditions on skew braces and solutions of the Yang-Baxter Equation

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-26/

1. Groups of type $\mathrm{E}_8$ over rings via TKK-algebras and their extremal elements
2. Analogues of Gr\"un's lemma and Baer's theorem for skew left braces
3. Matrix stability and Morita invariance
4. Free Skew Braces and Free Solutions of the Yang--Baxter Equation

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-25/

1. Closure Atlases and Local-to-Global Obstructions in Finite Closure Systems
2. Equivariant Cleft Extensions and Singular Equivalences
3. An Algebraic Viewpoint on Linear Differential Equations
4. On the Moser trick for Lie subalgebras and foliations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-24/

1. Irreducible noncommutative quadrics
2. The endomorphism tower of a finite symmetric group
3. On Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative Group
4. Almost Symmetric Linear Arc Monadic Datalog and Transitive Tournaments

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-23/

1. Transposed Poisson structure on the Witt-type algebra $\mathcal{W}(a,-1)$: Derivations, Automorphisms, and Rota--Baxter operators
2. Vector Determinant in the ARE Framework: From Scalar to Vector-Valued
3. Order-to-ring ideals via submultiplicative lattice seminorms in lattice-ordered algebras
4. Tame Automorphisms of Free Nilpotent Lie Algebras of Countably Infinite Rank
5. Lie subalgebras of vector fields on curves
6. A bicategorical perspective on Steinberg algebras
7. Local Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindex
8. Standard Polynomials for Principal Subalgebras $\mathbb{K}Q_{\geq 1}$ of Path Algebras
9. Explicit Formula for Inverse and Determinant in Geometric Algebras over Odd-dimensional Vector Spaces
10. Graded differential polynomial rings
11. A Note on Quaternions over Commutative Rings
12. Parabolic induction for modular finite $W$-algebras
13. Ask zeta functions of central hyperplane arrangements
14. A note on simple-minded systems and weakly simple-minded systems over self-injective algebras
15. On Two Approaches to Cluster Structures on Partial Flag Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-19/

1. Nijenhuis Lie $2$-algebras
2. Explicit descriptions of the subfields $(NL)^{pi}$ and $(NL)^{pi}(NL)^{sep}$ of $NL$ and new explicit criteria for $NL = (NL)^{pi}(NL)^{sep}$
3. Product of two matrices similar to companion matrices over sufficiently large fields
4. Order embeddings of real matrix domains
5. Free subgroups in weighted Leavitt Path Algebras
6. Functional completeness and primitive positive decomposition of relations on finite domains
7. Eigenvector Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-18/

1. On restricted Rota-Baxter Lie algebras of arbitrary weight
2. Surjectivity of Engel Words on $\mathrm{SL}_2(\mathcal{O})$ and $\mathrm{PSL}_2(\mathcal{O}_2)$
3. Schur rings over cyclic groups having Almost Commutative Terwilliger algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-17/

1. Finite basis property for finite graded algebras
2. A note on the image of graded multilinear polynomials on upper triangular matrices
3. Non-isomorphic restricted Lie algebras with isomorphic restricted enveloping algebras
4. The iterated geometric Green's formula
5. Radon transform for $GL_n(\mathbb{F}_q)$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-16/

1. The graded Grothendieck group ${K}_0^{\mathrm{gr}}$ is full for weighted Leavitt path algebras
2. On the structure of finite Novikov conformal algebras
3. A Generalization of UQ Rings
4. Jordan rigidity of full matrix algebras
5. Simple derivations and isotropy on Danielewski-type algebras
6. A unimodular bijection between harmonic vectors of 2-isomorphic graphs
7. On reduction and gluing technique of simple-minded systems over self-injective algebras
8. A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case
9. Right representations of Novikov algebras
10. On the Lyapunov equation with the state matrix in companion form
11. Determinant majorization for hyperbolic polynomials on Euclidean Jordan algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-15/

1. The Reduction Theorem for Leavitt Labelled Path Algebras and Its Applications
2. Classification of Finite-Dimensional Lie Algebras with Respect to the Length of Their Chief Series
3. Normal extensions of twisted graded Calabi--Yau algebras
4. Hilbert's basis theorem for Poisson Ore extensions
5. Pre-vertex algebras, pre-Poisson vertex algebras and their deformation quantizations
6. Theory of Infinite Maximal Green Sequences: Finest Stability Data, CBHO Sequence and Cluster quiver pattern

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-12/

1. Near-Trinions: Complete Classification of Unital Three-Dimensional Real Associative Algebras
2. Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules
3. Rings with Clean-Like Properties: Endomorphism, Matrix and Structural Theorems
4. Roots of polynomials over semirings and hyperfields
5. $W-\delta-\mu$ dual codes and LCD codes
6. Silting subcategories and (co)torsion pairs associated to extended hearts

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-11/

1. Graded identities of the first Weyl algebra and its generalizations
2. Ternary public-key cryptosystem
3. Singular Hochschild complex and Cartan matrix
4. $\tau$-tilting modules, depth and delooping level

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-10/

1. On the Spectral Region of n-Cycle Stochastic Matrices
2. Curved DG Modules and Matrix Factorizations from Noncommutative Quadric Hypersurfaces
3. Generalized superderivations of the super Virasoro algebras
4. On the semigroups of fence-decreasing and fence-preserving transformations on a finite fence
5. On the Positivity of a Class of Cauchy-Like Matrices
6. On concatenation of matrices for reversible linear codes over a finite commutative ring and applications to DNA codes
7. A quiver approach to quasi-quantum groups with the Chevalley property

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-09/

1. Uniqueness of addition in Lie rings $\mathfrak{gl}_n(K)$ and $\mathfrak{sl}_n(K)$
2. Twisted generalized Weyl Poisson algebras of type $(A_1)^n$
3. Octonionic structure operator and its right spectrum
4. Simple unital Jordan superalgebras
5. Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras
6. t-g-radical supplemented modules
7. Skew-symmetric Frobenius dialgebras, diassociative bialgebras and Yang-Baxter equations
8. Multiplicative One-Sided Ideal Theory of Hereditary Noetherian Prime Rings
9. Kronecker products and iterated matrix multiplication
10. Locally finite sets of derivations
11. Braided cohomology of quasi-triangular bialgebras and braided Morita invariance

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-08/

1. Mock-pre-Lie bialgebras
2. Derivations and local derivations on Euclidean Lie algebras
3. A Comparison of cluster algebra structures arising from $i$-boxes and Demazure weaves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-05/

1. Free Reductive Lie Algebra Pairs of Lie-Yamaguti algebras
2. Frobenius--Perron dimension and tensor products of algebras
3. The spectrum of the bosonic ambitwistor string revisited

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-04/

1. On Centrally Essential Subrings of Formal Triangular Matrix Rings
2. Extensions of Centrally Essential Rings
3. Coactions of cocommutative Hopf algebras on skew polynomial rings
4. Combinatorial and analytic aspects of independence polynomials of zero divisor graphs
5. The Azumification of orders

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-03/

1. Spectral duality for some modal and residuated groupoid expansions of De Morgan algebras
2. Automatic additivity for injective Jordan semi-triple maps on structural matrix rings over division rings
3. Weakly uniserial dimension of modules
4. On Quasi-Nil Clean Rings
5. Diagonal Condition in Multiplication Table of $\displaystyle {\, \mathbb{Z} [i] / (\alpha) }$
6. A complete description of solvable symplectic Lie algebras
7. Half of finite abelian groups are unit groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-02/

1. Some homological resultsin the category of colour $(A,H)$-Hopf modules
2. On classical and Gorenstein homological invariants of rings
3. A Nielsen--Schreier variety of algebras without the PBW property
4. The art of counterpoint: a Mazzola-type three-voice first-species counterpoint model
5. A natural e\~ne product construction of the Big Witt ring
6. Real Matrices as Linear Combinations of Three Orthogonal Matrices
7. Proof of Dittert's conjecture for dimensions \texorpdfstring{\(n\ge 17\)}{n >= 17}
8. A Noetherian Hopf algebra is affine iff its Hopf coradical is affine
9. Algebraic properties of overflow semirings
10. Weyl algebras on Braverman-Kazhdan spaces
11. Power Semigroups and Two Rigidity Theorems for Groups
12. Band Bases as Common Triangular Bases in Cluster Algebras from Surfaces
13. On rational representations and rational group algebra of $\operatorname{GL}_2(q)$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-01/

1. Graded identities for matrix algebras of order two over a finite field

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-29/

1. Boolean Algebra -- Driven Sepsis Diagnosis
2. Descending Chain Conditions on Leibniz Algebras
3. Differential graded Hopf algebra structure on free symmetric cosimplicial operads
4. Linear and matrix generalizations of some combinatorial min-max theorems
5. The Q-Calculus: A Quaternion-Based Laws of Form System
6. A non-commutative discrete first Painlev\'e hierarchy: the Lax pair approach
7. Action accessibility in the variety of skew braces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-28/

1. Inversion of the Multiplicative Matrix Compound Operator
2. Graded m-nil clean ring
3. Two-term tilting complexes of biserial fractional Brauer graph algebras
4. Operator-Norm Transfer and Cohomological Rigidity for Quaternionic Quasi-Lie Structures with Application to Sliding Mode $\beta$-Exponential Stability
5. Noncommutative infinitary semigroups
6. One-sided inverses in noncommutative infinitary semigroups
7. Ordinal semigroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-27/

1. Complemented elements in commutative rings
2. On matrix polynomials and the joint spectral radius over max-algebras
3. Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$
4. Planning Neural Dynamics with Lie Group Embedding through Supervised Projective Manifold Learning
5. On the category of semi-graded modules
6. Refined index obstructions for Brauer classes on an abelian variety
7. The V/L recursion for Macdonald's 7th Variation Schur polynomials
8. Gorenstein flat-cotorsion modules over tensor rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-26/

1. Poisson fields of two variables
2. Semi-complemented commutative group rings
3. Ordered semigroups and ideal categories of principal ideal rings
4. Classification of Lie algebras constructed from $\mathfrak{gl}_{m|n}$ via Derived Bracket
5. Difference $2$-algebras and difference $A_\infty$-algebras
6. Root of a cubic polynomial as a power series in the discriminant
7. Universality theorems for generalized splines
8. Factorizations, classifying complements problem and deformation maps for Lie-Yamaguti algebras
9. Right groups and the set-theoretic Yang-Baxter equation

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-25/

1. Maximal subalgebras of the Lie algebra $W_n(\mathbb{K})$
2. Images of polynomials with involution on $2\times 2$ matrices
3. Symplectic lattice counting and zeta functions of higher Heisenberg groups
4. Quasi-Poisson varieties from double quasi-Poisson algebras in types $B,C,D$
5. Rota--Baxter operators on vertex algebras in integrated $\lambda$-bracket formalism and their associated 2-cocycles

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-22/

1. Inner post-Lie algebras and inner post-groups
2. Minimum second neighborhood degree energy of commuting graphs of finite rings
3. A Generalization of $\Delta$U Rings
4. Fermionic matrices and super Cayley--Hamilton algebras
5. On the self-similarity of rational power series with matrix coefficients

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-21/

1. $p$-Adic Asymptotic Subalgebra Enumeration
2. Classification and Isotropy of $\sigma$-Derivations on the Quantum Plane
3. Pseudo-Euclidean Novikov Superalgebras: Structure and Properties
4. Group-Algebraic Tensors: Provably-optimal Equivariant Learning and Physical Symmetry Discovery

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-20/

1. Images of Lie Polynomials on simple Lie algebras
2. Central idempotents in group-graded rings
3. Linear Algebraic Method and the Erd\H{o}s-Heilbronn Conjecture
4. The geometry of rank-metric codes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-19/

1. Are cluster automorphism groups finitely generated?
2. n-ary elliptic groups, rings, and primes in arithmetic progressions
3. Varieties and quasivarieties of lattices with complementation
4. On transposed Poisson conformal superalgebras
5. On Zero-Divisor Graph of the Ring $\frac{\mathbb{F}_p[u, v]}{\langle u^2,\, v^2, \, uv-vu\rangle}$
6. Separability for relative extensions of object unital strongly groupoid graded rings
7. Weakly Noetherian Lie Algebra and the Sierra-Walton Conjecture
8. The Classification of the 2-generated Primitive Axial Algebras of Monster Type
9. Optimization problem for star covers of graphs without four cycles
10. Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics
11. Coupled double Poisson brackets
12. Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$
13. Integral Planes and Unit-Norm Polytopes
14. The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-18/

1. Representability of the automorphism group of finitely generated vertex algebras
2. Skew Constacyclic Codes Of Length $np^s$ over $ \frac{\mathbb{F}_{p^m}[u]}{\langle u^k \rangle}

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-15/

1. Non-crystallographic systems of integers over composition algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-14/

1. A completion of reduced commutative rings
2. Expander Evolution Algebras
3. Cocommutative Hopf Dialgebras and Rack Combinatorics
4. Commuting maps of inflated algebras
5. ARE Method: Orbital Decompositions and Dihedral Cancellations for Determinants
6. Eventual sign coherence
7. On p-Lie algebras of finite Morley rank

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-13/

1. Uniqueness Theorems for Twisted Steinberg Algebras
2. Groups of permutations that are even on maximal proper subsets, and related monoids
3. Trace ideals and uniserial modules
4. Balanced subsets in root systems
5. Estimation Problems and the Modulating Function Method: The Algebra of Modulating Functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-12/

1. Finite products in commutative monoids: well-definition, recursion on finite subsets, and why the empty product is $1$
2. Residue Constraints in the Rank-Three Lifting Problem for Projective-Plane Incidence Matrices
3. Unitary-Invariant Decomposition of Reducible Total Least Squares Core Problems
4. A characterization of monoid graded semihereditary rings
5. Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras
6. Localization, Local--Global Transfer, and Hull Theory for $C4^{\ast}$-Modules over Commutative Rings
7. Exact-Sequence Stability and Ambient Realizations for $C4^{\ast}$-Modules
8. On a $q$-Skew Amitsur's Theorem
9. The structure of $\lim^1$-groups
10. Undecidability problems for semifree DG algebras
11. Study of Rota-Baxter Operators in Matrix $C^*$-Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control
12. Factor systems and geometric structures of strongly graded rings
13. A Gr\"obner--Shirshov Basis for Nilpotent Rota--Baxter Algebras of Weight Zero
14. Integral elements of Okubo algebra and the E8-lattice
15. Commutators of finite multiplicative order
16. Varieties of bicommutative algebras with identity of degree three
17. The comaximal graph of a finite-dimensional Lie algebra
18. A Cryptosystem Using Cluster Algebras
19. Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$
20. A categorical description of simple Beth companions
21. Integral Shell Polytopes of Composition Algebras
22. Hidden Structure of Jack Littlewood-Richardson Coefficients

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-11/

1. Mean weak length
2. Opposite brace triples, Hopf braces and matched pairs of Hopf algebras
3. Commutativity preserving mappings in Banach algebras
4. Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra
5. Computing bases in Hermite normal form of lattices of integer relations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-08/

1. Spaces of matrices with few eigenvalues (II)
2. Automorphism groups of direct products of multiplicative monoids of certain rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-07/

1. Left--right Transfer for $C4^{\ast}$-Rings Beyond the Regular Case
2. A Generalised Jordan Normal Form and Its Computation Over Finite Fields
3. On the structural behavior of images of polynomials
4. On Lie Algebras with Only Inner Derivations
5. Faithful linear and relational representations of diagram categories and monoids
6. Symmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach
7. Contact and 2-compatible Lie algebras
8. Algebraic $K$-theory, cohomotopy $K$-groups, and Koszul duality

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-06/

1. Solving one-sided linear systems over symmetrized and supertropical semiring
2. On Regular Quantum Commutative Algebras
3. Central series of cocommutative Hopf braces
4. Cyclic codes over the ring Z2[u,v](u2(1+u),v2(1+v2))
5. A duality for definable subcategories and its application to torsion classes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-05/

1. Nonsymmetric versions of binary quadratic operads
2. Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds
3. Poisson $n$-Lie algebras: constructions and the structure of solvable algebras
4. Non-abelian extensions of Hom-Jacobi-Jordan algebras
5. An algorithmic reduction to canonical forms for vector bundles on anisotropic conics
6. An Orlov theorem for matrix factorizations with multiple factors
7. Quasi-Gorenstein morphisms of commutative local dg-algebras
8. Self-dual codes with group actions and invariants
9. Accessibility and Gorenstein injective envelopes
10. Real tensor factorizations and generalized inverses under the $t$-product

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-04/

1. Identities in differential perm algebras
2. Combinatorics on finite words and the length of a finite-dimensional associative algebra
3. On ${\pi}$-systems of symmetrizable Kac-Moody algebras
4. On local function, an algebraic approach
5. Report on $AS$-Gorenstein Hopf algebras
6. On Krull's Dimension Theorem for Certain Graded Rings and Its Applications

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-01/

1. Polynomial Maps with Constants on Matrix Algebra
2. Fixed-point-free automorphisms of solvable Lie algebras
3. From finite to infinite length modules over tame hereditary algebras
4. A Ring structure on the Class of Combinatorial Games

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-30/

1. On simple transposed Poisson algebras
2. Exterior-Model Spinors in Split Rank: Exact Levi Images and Square-Determinant Obstructions
3. Non-abelian Extensions of Lie algebras with derivations
4. Unitary representations and von Neumann's continuous geometries
5. Metrics on triangulated categories and restrictions of (co)-$t$-structures
6. On the automorphisms of the power semigroups of a numerical semigroup

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-29/

1. Nilpotency and Frattini theory for transposed Poisson algebras
2. A colimit decomposition for the loop homology of polyhedral products
3. Atom spectra of symmetric monoidal abelian categories and classification of subcategories
4. Arboretum.hs: Symbolic manipulation for algebras of graphs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-28/

1. On the minimal dimension of maximal commutative subalgebras of $M_6(k)$
2. Rings with finitely many zero divisors
3. $k$-step nilpotent symplectic Lie algebras associated with graphs
4. Extracting Exact Lie Derivatives Without Backpropagation: A Dual Compiler for Neural Control Barrier Functions
5. A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
6. Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$
7. A rational model for the fiberwise THH transfer II: $A_\infty$-algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-27/

1. On the rank of quaternion Hankel matrices
2. On simple compact Lie skew braces
3. Affine Supertrusses and Superbraces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-24/

1. Left modularity and extremality for (some) infinite lattices
2. Globalization of Partial Group Actions on Not Necessarily Associative Algebras and Covariant Representations
3. Three-periodic helices on elliptic curves and their associated regular algebras
4. Addendum/Corrigendum to "On solubility of skew left braces and solutions of the Yang-Baxter equation"
5. A gap principle for polynomial volume growth of zero-entropy automorphisms
6. Quantization of nilpotent coadjoint $GL_N$-orbit closures in positive characteristics

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-23/

1. Free Poisson Rota-Baxter algebra
2. Trivial extensions of Koszul Artin-Schelter regular algebras
3. Border subrank of higher order tensors and algebras
4. Injectivity paucity in AB5 categories of oversize chains

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-22/

1. A new limit variety of additively idempotent semirings
2. Tomiyama-type maps with a diagonal perturbation
3. Hyper relative differential operators on Lie algebras
4. Change-of-Rings Theorems for the Small Finitistic Dimension
5. SignatureTensors.jl: A Package for Signature Tensors in Julia

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-21/

1. Morita Invariance, Categorical Obstructions, and Dimension Transfer for \texorpdfstring{$C4$}{C4}, \texorpdfstring{$C4^{\ast}$}{C4*}, Strongly \texorpdfstring{$C4^{\ast}$}{C4*}, and Semi-Weak-CS Modules
2. Hochschild cohomology and lifts of endomorphisms
3. On the isotropy of differential Ore extensions
4. A note on $n$-Jordan homomorphisms
5. The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup
6. Rigidity and Cohomology of Seaweed Lie Algebras
7. Local and 2-local $\frac{1}2$-derivations of infinite-dimensional Lie algebras
8. `New' examples of skew fields not finitely generated as algebras
9. Lie Quandles, Leibniz Racks and Noether's First Theorem
10. Homological Aspects of Separable Extensions of Triangulated Categories
11. An introduction to separated graphs and their type semigroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-20/

1. $G_2$-structures as Octonion Algebras
2. Chevalley property of module-finite Hopf algebras and discriminant ideals
3. $D$-bialgebras, dendrification and embeddings into AWB of almost Poisson algebras
4. Scalar relative differential invariants
5. Wedderburn decomposition of the rational group algebras of $\operatorname{SL}_2(q)$ and $\operatorname{PSL}_2(q)$