プレプリどんどん: math.RA

arXiv math.RAの新着論文17本をご紹介します。

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

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/2026-10-05/

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

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/2026-10-02/

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

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/2026-10-01/

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

arXiv math.RAの新着論文14本をご紹介します。

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

arXiv math.RAの新着論文25本をご紹介します。

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

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/2026-09-28/

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

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/2026-09-25/

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

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/2026-09-24/

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

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/2026-09-23/

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