プレプリどんどん: math.RA

arXiv math.RAの新着論文16本をご紹介します。

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

arXiv math.RAの新着論文5本をご紹介します。

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

arXiv math.RAの新着論文7本をご紹介します。

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

arXiv math.RAの新着論文5本をご紹介します。

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

arXiv math.RAの新着論文16本をご紹介します。

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

arXiv math.RAの新着論文6本をご紹介します。

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

arXiv math.RAの新着論文8本をご紹介します。

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

arXiv math.RAの新着論文2本をご紹介します。

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 $S(W)$

arXiv math.RAの新着論文15本をご紹介します。

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

arXiv math.RAの新着論文20本をご紹介します。

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