プレプリどんどん: math.RA

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/2026-09-07/

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

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/2026-09-04/

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

arXiv math.RAの新着論文3本をご紹介します。

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

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/2026-09-02/

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

arXiv math.RAの新着論文27本をご紹介します。

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

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/2026-08-31/

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

arXiv math.RAの新着論文10本をご紹介します。

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

arXiv math.RAの新着論文3本をご紹介します。

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

arXiv math.RAの新着論文9本をご紹介します。

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

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/2026-08-25/

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