プレプリどんどん: math.RA

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

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/2026-08-20/ Entrywise Positivity Preservers on Green Matrices A left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$ Structure and Complexity of 2-Nilpotent Mal'cev Algebras Positivity preservers over finite fields II The $6\times6$ equality case of matrix spaces with rank-two commutators New Nonexistence Results for Circulant Weighing Matrices Maximal ideals in the finitary symmetric group algebra in characteristic two

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/2026-08-19/ Decomposition of a square matrix into a product of a nilpotent matrix and an involutive or idempotent matrix Positive definite, positive semidefinite and totally positive matrices over finite fields A strongly compact cardinal yields a left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$ Deformations and homotopy theory of Rota-Baxter Lie algebras An equidistribution conjecture for quotient-closed and submodule-closed subcategories

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/2026-08-18/ $F$-congruences on $F$-inverse monoids On Locally Generalized radical linear groups over rings Affine Nilpotency and Engel's Theorem for Lie Affgebras Some results on Hom-Novikov superalgebras and Hom-anti-pre-Novikov superalgebras Eigenvalues of locally positive semidefinite matrices: Non-convexity and Geometry Support $\tau$-tilting posets and Hochschild reconstruction for matrix centralizer algebras Superalgebras and Algebras with Involution: Classifying Cubic Codimension Sequences Modified induction and a torsion-theoretic equivalence for relative BiHom-Hopf modules On Noetherian pointed Hopf algebras Symmetry of self-injective dimensions under the Auslander condition Transpose Symmetry of Injectivity over Commutative Semirings Comaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts and structural invariants A short note on the image of multilinear graded polynomials on matrix algebras Entrywise Loewner Preservers on Min and Max Matrix Cones Finitistic dimension via modules over the singularity category A note on the $\mho$-quiver

arXiv math.RAの新着論文6本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-17/ Sum of two strictly n-zero matrices Mittag-Leffler Conditions, Gorenstein Modules and Homological Invariants Local Smith Profiles of Twisted Calabi--Yau Algebras Cleft Extensions for Hopf Algebroids without Antipodes A counterexample to a question on the maximality of purely-primes Brauer graph algebras are closed under stable equivalence of Morita type

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/2026-08-14/ Some more talents of the talented monoid of a higher-rank graph Injective Rota-Baxter operators of weight 1 on $F[x]$ Integer-valued polynomials over structural matrix rings Null polynomials over a finite ring need not form a two-sided ideal Simple double Lie algebras on the Laurent polynomial space The Tropical Algebra of Binary-Tree Height From Lie--Rinehart Algebras to $F$-Manifold Algebras Absolutely flat algebras in tensor categories

arXiv math.RAの新着論文2本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-13/ Bivariate quaternionic factorizations and surfaces that decompose into two circles The finite basis problem for the flat semirings $S(W)$

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/2026-08-12/ Direct Sum and Direct Product Decompositions of Multivariate Functions Hybrid core-EP-$(b,c)$ inverses in rings On the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring Isomorphisms Fixed-Lowering $\mathfrak{sl}_2$-Triples for Laurent-Shift Operators: Exact Stencil Endpoints and Recurrence Locality Balanced pairs of Cartan-Eilenberg complexes over virtually Gorenstein rings Decomposition-Closed Sublattices as Minimizer Sets of Modular Functions over Distributive Lattices Virtually Gorenstein Artin algebras are weakly Gorenstein Reconstruction of Torsion-Free Abelian Groups from Rational Group Fields Mutation-preserving generalized cluster algebras and Laurent mutation invariants Armendariz ring property via idempotent elements Differential varieties of upper triangular matrices Normality of Relative Elementary Tranvection Groups Polynomial Bounds on Degeneration Order from Commutativity Properties of Tensor Slices Spaces of subobjects as spectral spaces Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II