プレプリどんどん: math.RA

arXiv math.RAの新着論文24本をご紹介します。

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

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/2026-09-21/

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

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/2026-09-18/

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

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/2026-09-17/

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

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/2026-09-16/

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

arXiv math.RAの新着論文24本をご紹介します。

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

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/2026-09-14/

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

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/2026-09-11/

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

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/2026-09-10/

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

arXiv math.RAの新着論文32本をご紹介します。

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