プレプリどんどん: math.RA

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/ A Characterization of Local Nilpotence for Derivations of Ore Extensions Locally finite Schreier Varieties On the trace identities of 2-dimensional tr-prime algebras over a finite field Generalized $t$-Fine and Quasi $t$-Fine Rings On $\ast$-Reversible and Generalized $\ast$-Reversible Rings Transposed Triple Products and Pro-Symmetric Rings in $\ast$-Rings Induced and Restricted Representations of Kumjian--Pask Algebras of Higher-Rank Graphs Range-compatible homomorphisms on Hermitian matrices Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with transpose superinvolution Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with $G$-graded involution Directed partial orders on the complex number field Tachikawa's second conjecture implies the Auslander-Reiten conjecture 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/ Fuzzy subhyperspaces generated by admissible mappings Growth functions of algebras and an application to Leavitt path algebras A parity obstruction to completeness of object cotorsion pairs On the number of modular pairs in finite dimensional Lie algebras on finite fields 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/ Relative commuting probability and BFC-type results for finite skew braces Regular Sublattices, O Closed Ideals and Dedekind MacNeille Completions The prime spectrum of the talented monoid of a higher-rank graph and applications Reduction techniques for the derived delooping levels 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/ Constructive recurrences for determinants and permanents of banded Toeplitz matrices Dedekind Poisson Algebras over Arbitrary Fields On the Structure of Low-Dimensional Poisson Algebras over Arbitrary Fields On flat pseudo-Euclidean solvable Malcev algebras Extending structures for the linear framework of Universal Algebra with applications to transposed Poisson algebras Matrices over non-commutative rings as sums of fifth and seventh powers Yang-Baxter permutation group actions on distributive Yang-Baxter algebras Fast tensor transforms and ring-valued orthogonal matrices: an application to cryptography PHP decompositions and primitivity of group rings for linear groups The K\"othe conjecture via point modules Quaternionic Reflections and Lie Generation in $G_2$ On implicit operations and balanced categories The Cuntz semigroup of rings with stable rank one One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras Basis Rigidity of the AES S-box and Generic Rigidity of Inversion under Affine Transformations Simple Harish-Chandra bimodules in positive characteristics Acyclic quantum cluster algebras via Hall algebras associated to cluster categories Igusa--Todorov Algebras and the Auslander--Reiten Conjecture Essential quotients of the cohomology of products of symmetric and alternating groups New runner removal theorems for the cyclotomic Hecke algebras of type $G(r,1,n)$ Generating hypotheses along the motivic deformation Mixing Extriangulated Model Structures Laurent Symmetric Functions 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/ Notes on Reversed Products of Two Elements in Rings On the growth of Lie algebras and Jordan algebras 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/ Invariants of Nilpotent Lie Algebras via Geometry and Algebra with a Focus on Computation Quasilinear multiplication in the real Cayley--Dickson tower 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/ A Simple Way of Getting Large Examples of Osborn Loops A Truncated Singular-Value Bound for Spectral Variation of Normal Matrices Orthogonal completion of algebraic systems II A quaternionic construction behind $841$-point kissing arrangement in ${\mathbb R}^{12}$ A note on idempotents in quandle rings Local derivations is a Lie algebra Homomorphisms and subalgebras of free convex semilattices A nonfinitely based additively idempotent semiring that is not strongly nonfinitely based and generates a limit variety Linear Preservers of Infinitely Divisible Matrices Classification of Nijenhuis operators on three-dimensional multiplicative simple Bihom-Lie algebras Deriving Newton's Canonical Forms of Cubic Curves via the Center of Polynomials A counterexample to Huang's weak majorization conjecture Lifting strongly graded rings via overgroups A note on generalized distributive sets of a finite Dickson nearfield Weak central polynomials for algebras of multiplications of simple algebras Amenability of Lie, Group and Hopf algebras A counterexample to the periodicity conjecture for finite-dimensional algebras A Counterexample to a Conjecture of Liu and Qian and a Refined Inverse Theorem for Restricted Sumsets in $\mathbb{Z}_p$ Finiteness and growth of brick chain filtrations 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/ Extremal Rota-Baxter operators on matrix algebras Finite-Sample Rigidity for Left-Translated Similarity Orbits and Off-Diagonal Quadratic Realizations Integral Dependence over One-Sided Ideals, Part I: Foundations and Classical Applications Cohomology theory of Novikov algebras and applications Generic Nullity of Generalized Commutators Filtered deformations of three-variable polynomial algebras $\delta$-Mock-Novikov Algebras: Structural Theory, Operad and Poisson-Type Constructions A \(3\times 3\) counterexample to Lin and Wimmer's rank-minimization conjecture associated with Roth's similarity theorem Higher-dimensional generalized quasiorders The Classification of the Rota-Baxter Operators on Four-dimensional Grassmann Algebra Three-Dimensional Geometry in Exceptional Algebra The Pozhidaev and Cantarini--Kac Constructions of Simple $n$-Lie Algebras: Distinctions and Realizations A counterexample to K\"othe's conjecture and a question of Rowen A polynomial criterion for Jordan elements in a free associative algebra A vanishing criterion for Lie elements in a free Novikov algebra Direct-product rigidity and factor reconstruc- tion for monoids with zero Minor-Order Exponent Profiles of Oscillatory Matrices Slice regular functions on alternative *-algebras : prescribing zeroes and values on discrete sets and related extension problems A new characterization of arithmetical categories and Pixley's theorem Exactness of the 2-categories of abelian and triangulated categories On the Matlis Reflexive Modules A two-categorical Snake Lemma (Semi-)Models for Slice Regular Functions on Real Division Algebras A Solution to Iima--Yoshino Problem 2.3 An overlooked weakening of perfect normality: Perfect regularity in spaces and locales Chain rule symmetry for singular SPDEs from multi-indices to decorated trees Quasi-projective dimension and Gorenstein projective dimension New Symbolic Procedures in the Study of Dynamical Systems Homological properties of quantum groups governed by small quantum groups Double cross products with projections and relative Rota-Baxter operators on Hopf algebras General linear and Steinberg groups over the Leavitt algebra $L_{\mathbb F_2}(1,2)$ Partial $F$-invariants and cluster categorifications

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/ Factorization of central polynomials over division algebras Lie Ideals and Lie Derivations of the Algebraic Toeplitz Algebra The ozone group of $U_q^+(B_2)$ Extending Structures for $n$-Lie Algebras Explicit Super-Linear Algebra over K[{\theta}1, {\theta}2]: A General Berezinian Correction Formula and Multiplicativity Theorem for Arbitrary Block Size Universality in the algebra and topology of cographs 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/ Isomorphisms of graded semiconnected algebras Construction of $n$-cotorsion pairs in some abelian categories Singular equivalences of $n$-adjoint type and standard eventually homological isomorphisms Beth companions of finitary essentially algebraic theories Fourier Analysis and Idempotents in Quandle Algebras Koszul Orlik--Solomon Algebras from Non-supersolvable Arrangements Additive diameters and covering complexity of irreducible representations 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/ On Strongly $m$-$\Delta$-clean ring Orthogonal completion of algebraic systems 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/ Integral coefficient rings and homological dimensions of algebras An Algebraic Framework for Data Systems: Classification and Optimization of Algebraic Structures for Data Organization and Coding Hopkins-Levitzki Type Theorems for Groupoid Graded Rings Singular Cholesky Fibers over Finite Fields Homological aspects of n-trivial extensions of rings The injective envelope of simple modules over Leavitt path algebras I: simple left ideals The injective envelope of simple modules over Leavitt path algebras II: simples arising from exclusive cycles Peirce Stability of Null Polynomials and a Sharp Radical Bound for Finite Rings Deformation theory and the controlling $L_{\infty}$-structure of extended Rota-Baxter algebras Global representations of algebras with a near-unanimity term Deformed Convolution, Cumulant Transforms, and Semigroup Generators in Hurwitz Series Rings From Common-Slot Chains to Heisenberg Central Products over Global Fields On Braided Differential Calculi and Quantum G-structures Diagrammatic Okada monoid and cellularity of the Okada algebra 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/ A Two-Dimensional Counterexample to Radical Equality in Primitive Axial Algebras Type of homomorphisms of complex tori Laws for triangular matrices Corrigendum to "A Characterization of the Unit Group in Z[T x C_2]" Classification of Novikov-Poisson Algebras and Their Applications Graded Identities of the Virasoro Algebra Spaces of triangularizable matrices (III): Perfect non-quadratically closed fields with characteristic $2$ The ozone groups of the algebras $B_q(f)$ Degree-shifted derived invariance of derived delooping levels Deformations and the controlling $L_{\infty}$-structure of extended Rota-Baxter Lie algebras Congruence-simple multiplicatively idempotent semirings and multiplicative divisibility Polynomial joint first-order differential projective invariants On Completeness of $n$-ary Hom-Nambu and Hom-Lie Superalgebras Lie nilpotency index of skew symmetric elements in group algebras $\sqrt{\Delta}$-Fine Rings Irreducible $\mathbb{Z}_+$-modules over some $\mathbb{Z}_+$-rings Prime ideals and representations of the bosonization of the super Jordan plane Properties of the $\mathcal V$-Monoid of Weighted Leavitt Path Algebras Bounded $t$-structures on the category of strongly bounded objects Model structures on the category of Q-shaped modules Triangulated polygons and Y-frieze patterns Poisson bialgebras by deformations-to-quasiclassical limits Transfer of Wakamatsu tilting modules along Frobenius extensions An Abstract Index Theorem via Rees Algebras Auslander correspondence for higher stable dg categories and cluster Morita theory Linear independence of global monomials on positive spaces 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/ Integral Orders for the Okubo Algebra and Idempotent Geometries of the $E_8$ Lattice Commuting graphs of Okubo algebras Orthogonality graphs of real Cayley-Dickson algebras. Part II: The subgraph on pairs of basis elements Orthogonality graphs of real Cayley-Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons On Locally Finite Derivations in Ore Extensions Acyclic and totally acyclic objects in the $Q$-shaped derived category Self-Orthogonal $\tau$-Tilting Modules and Tilting Modules II: Annihilator Separation 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/ Quantales as formal concept lattices Functional identities of degree 2 at two-sided zero products on incidence algebras Diameter of the commutativity graph of the real sedenions On doubly alternative zero divisors in Cayley-Dickson algebras Relation graphs of the sedenion algebra Very good gradings on structural matrix rings Free Novikov-Zinbiel algebra The weak bialgebra structures on $\mathbb{k}^{\oplus n}$ Finite semisimplicial sets, differential graded algebras, and cellular sheaves 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/ Hereditary QF-$3^{+}$ rings Cohomology and extensions of Novikov algebras of truncated polynomials 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/ An Explicit Counterexample to the Rank-Two Poisson Conjecture Construction of diassociative bialgebras from antisymmetric infinitesimal bialgebras and related algebra structures Free left $h$-Ehresmann semigroups Torsion and exactness A counterexample to a global-dimension bound for weighted projective lines Borel completeness of $R$-modules when $R$ fails the DCC on pp-definable subgroups Integral quadratic forms over a ring of $p$-adic integers Braces on the cohomology of noncrossing 2-partitions 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/ Integrable Generators of Algebraic Vector Fields for Real Connected Semi-simple Matrix Groups Quantum regularity of finite dimensional semisimple algebras Leibniz bialgebras constructed by tensor product from Lie bialgebras and perm bialgebras Hochschild cohomology and AS-Gorenstein property of weak Hopf Galois extensions Extended $\mathcal{O}$-operators, extended perm Yang-Baxter equations and related structures Leibniz algebras and their connection to Jordan pair disystems Marshall Quotients of the Rings $\mathbb Z/n\mathbb Z$ Partial Progress on Stone's Conjecture: $P_0$-Membership of Fully Semimonotone Matrices with Positive Determinant Fundamental Algebras and Varieties with Quadratic Codimension Growth Three-dimensional simple real Bol algebras Duality Between Injective Envelopes and Flat Covers over Noether Algebras Exact Finite-Length Theory of Uniform Car Parking: Spatial Laws, Absorption, and Aggregation Compressed sensing matrices from orthogonal spaces over finite fields of odd characteristic The Cartan determinant conjecture for representation-finite algebras Least-Squares and Low-Rank Approximation for Linear Relations Using a Diagrammatic Language

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/ Barr-Exactness and Congruence-Based Homological Algebra in Ternary $\Gamma$-Semimodules Projectivity and flatness over the endomorphism ring of a finitely generated $(H, {\mathcal C})$-comodule $N$-Koszul algebras of finite global dimension for $N\geq 3$ The Parafree Conjecture for associative algebras Module-Valued 2-Local Derivations on Reductive Lie Algebras A note on $N$-Koszul algebras of finite global dimension \c{S}tefan spectral sequence for faithfully flat Hopf Galois extensions is multiplicative Products of Nilpotent and Idempotent Matrices over Finite Local Rings A negative exponent range for Audenaert's complementary McCarthy trace inequality The general linear groupoid of a Leavitt path algebra Fully non-zero matrices and generators of full algebras of operators A probabilistic approach to the Yang--Baxter equation and skew braces Tilting Completion and Self-Orthogonality Modules Adjoint Closures of Singular Pairs of Quadratic Forms and a Pfister-Type Criterion Locally Acyclic Surface Type and Finite Type Cluster Algebras Have No Mysterious Points 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/ A New Impossibility Region for the $5\times5$ Symmetric Nonnegative Inverse Eigenvalue Problem Disuccessors, Gr\"obner-Shirshov bases and free L-dendriform algebras A rock-paper-scissors Mandelbrot set The lattice of abstract elementary classes of modules Recollements of derived categories from $n$-term big tilting complexes