プレプリどんどん: math.RA

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/2026-08-10/

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

arXiv math.RAの新着論文1本をご紹介します。

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

1. Linearisation, splitting property and homotopy algebras

arXiv math.RAの新着論文12本をご紹介します。

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

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/2026-08-05/

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

arXiv math.RAの新着論文13本をご紹介します。

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

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/2026-08-03/

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

arXiv math.RAの新着論文12本をご紹介します。

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

arXiv math.RAの新着論文4本をご紹介します。

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

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/2026-07-29/

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

arXiv math.RAの新着論文18本をご紹介します。

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