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プレプリどんどん: math.RA

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arXiv math. RA (環と代数) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 研究者の皆様の情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

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導分とリー代数とテンソルと超対称性 - 2026/10/20の論文19本 20.10.2026

arXiv math. RAの新着論文19本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-20/ Derivations of the idealization of the incidence module over the finitary incidence algebra Special identities of nonsymmetric bicommutative operations in associative algebra with an operator $\frac{1}{2}$ derivations and biderivations of 3-dimensional nilpotent Lie-Yamaguti...

超代数と準微分とポアソン構造 - 2026/10/19の論文9本 19.10.2026

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/2026-10-19/ A prime isoartinian ring that is not noetherian Generalized Mock-Poisson Algebras: Constructions and Structural Properties Derivations and quasi-derivations of Block Lie superalgebras $S(q)$ Point Modules of Non-Connected Graded Algebras On the center of the Clifford Algebra...

シンプレクティック行列とコズカル双対性と導来圏 - 2026/10/16の論文17本 16.10.2026

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/2026-10-16/ Low-rank perturbation of symplectic matrices Characterizations in terms of Generalized Inverses Two Short Proofs of the $A^A$ Theorem Zhang twists for semigroups and groupoids, with applications to Steinberg algebras Anti-successors and anti-replicators, Manin products and K...

Fomin-Kirillovと行列とクアンドル環 - 2026/10/15の論文4本 15.10.2026

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/2026-10-15/ Invariant factors from products of cyclotomic polynomials, with applications On the Fomin-Kirillov algebras Identities and isomorphisms of finite graded matrix algebras The zero divisor and augmentation conjectures for medial quandle rings

オクボと構造と格子とテンソル - 2026/10/14の論文43本 14.10.2026

arXiv math. RAの新着論文43本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-14/ Classification of $3$-dimensional unital commutative algebras Okubo algebras and Exceptional Periodicity: tetracode gradings, root-lattice obstructions and Clifford cones Endochain Conditions on Modules and $p$-quasi-Frobenius Rings Standard identities for polynomial vector...

代数構造と不変量理論 - 2026/10/12の論文15本 12.10.2026

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/2026-10-12/ Operator Algebras and Their Applications A unified approach to the definition of anti-algebras Quasi-derivations of Block Lie algebras $\mathcal{B}(q)$ Non-Existence of Abelian KS-Algebras in $M_n(\mathbb{C})$ for $n \geq 3$ Complex slices, inverses, and deformations of a th...

Conformal代数と$n$-Lieと指数 - 2026/10/9の論文10本 09.10.2026

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/2026-10-09/ A Proof of the Dittert Conjecture via Boundary Rigidity Wells exact sequences for $n$-Lie algebras Lower and Upper Lie Nilpotency Indices of Modular Group Algebras Affine Schur--Weyl theory for loop Semigroups and polynomial representations Structure theory of finite solvabl...

合成代数と超代数、クィバーと代数分類 - 2026/10/8の論文7本 08.10.2026

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/2026-10-08/ Symmetry and Invariant Theory of Quadratic Dynamics over Eight-Dimensional Composition Algebras The algebraic classification of five-dimensional nilpotent right alternative algebras From bosonized $\mathfrak{osp}(1|2)$ to liftings of the super Jordan plane On computing deform...

冪零とポアソン空間とモジュール - 2026/10/7の論文8本 07.10.2026

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/2026-10-07/ Nilpotent Product Probability of Finite Rings Diagonalizable modular derivations on bigraded Poisson spaces and Koszul duality Extensions of Restricted Simple Modules for Restricted Lie Algebras of Cartan Type Group-ring methods for Alexander quandle rings Sparse Moore-local...

八元環と四元環と形式行列とニル環 - 2026/10/6の論文17本 06.10.2026

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/ Generalizing the $A^A$ Problem for Finite Ordered Sets Finite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$ Characterization of the centrally finite Amitsur-Small division rings Generalized Commutator on Octonion Algebra For...

冪零性と代数と環の構造 - 2026/10/5の論文5本 05.10.2026

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/ Prime-Power Multiplicative Modular Monoid Morphisms Nilpotency and nil subvarieties of binary Zinbiel algebras (Super)nilpotency and solvability in algebras with zero Invariant Rings of Adjacent-Quadratic Triangular Derivations Signed seeds and G-gradings on cluster algebras

Lie代数とオペラドと非可換多項式 - 2026/10/2の論文16本 02.10.2026

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/ On extensive amenability of algebras An Algebraic View of Amenable Groupoids Rational linear forms of linearizable ordinary differential equations Local and 2 local $\frac{1}{2}$-derivation of $n$-dimensional totally graded filiform Lie algebras The Comon Rank Gap of a Third...

テンソル、導出、そして構造の変異 - 2026/10/1の論文12本 01.10.2026

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/ Algebraic derivations and radicals of automorphism groups of algebras Tensor factorization of local algebras Quotient Morita Theory with Applications Perspectivity and the perspective-Schr\"oder-Bernstein Property A Koteljanskii inequality for permanents Higher Cotorsion Pai...

ゴレンシュタインとモジュールと行列の解析 - 2026/9/30の論文14本 30.09.2026

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/ Exponent Profiles of Oscillatory Matrices under Matrix and Inverse Sparsity Gorenstein homological properties of n-trivial extensions of rings Square matrices with integer eigenvalues under entry permutations Irreducible $\mathbb Z_+$-modules over $\mathbb Z[\sqrt[m]{d_1},\s...

MATH-RA - 2026/9/29の論文25本 29.09.2026

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/ Algebras with Variable Structural Constants and Their Applications Algebras with Variable Operator-Valued Structural Constants and Their Applications Relative Global Dimension of Controllable Extensions Augmentation-Ideal Realization of Special Nottingham Congruence Series a...

MATH-RA - 2026/9/28の論文8本 28.09.2026

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/ The Hua identity implies alternativity The $m$-Invariant of Fields of Characteristic 2 Fast factorization in diagram monoids Asymptotic completions of preordered semirings Boolean Trusses as Rectangular Bands and Boolean Rings The Hilbert Basis Theorem for Non-Associative Ske...

MATH-RA - 2026/9/25の論文7本 25.09.2026

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/ Duality for matrix space questions On the Regularity and Clean Properties of Matrices over Dual Numbers Differential perm bialgebras, differential perm Yang-Baxter equation, and their applications in related bialgebra structures Failure of Ado-type theorems for preLie and pos...

MATH-RA - 2026/9/24の論文13本 24.09.2026

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/ Integral Dependence over One-Sided Ideals, Part II: G-Left Ideals and the K\"othe Problem Phantom categories on 3-vertex directed DG quivers Toeplitz multiplication and graded factorization of determinant recurrences Controlling graded Lie algebras and cohomologies of double...

MATH-RA - 2026/9/23の論文12本 23.09.2026

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/ Idempotent-free non-solvable evolution algebras over $\mathbb{C}$ Reflectors and the Globalization Problem for Partial Actions of Semiconstellations On the Peirce spectral rigidity of decorated incidence algebras On multilinear polynomial identities for $2\times2$ matrices i...

行列と代数と導出と構造 - 2026/9/22の論文24本 22.09.2026

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/ On the positive semidefinteness of a class of Hermitian Cauchy-like matrices Positive Eigenvalues of Circulant Hadamard Square Roots The $\phi$-conjugation of quaternionic matrices and generalized Autonne-Takagi factorization $\boldsymbol{i}$-conjugate for quaternionic matri...

代数構造と表現と演算子 - 2026/9/21の論文8本 21.09.2026

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/ Just-Infinite Loops and Loop Algebras A classification of group gradings on incidence algebras over commutative rings Local and Quasi Derivations of the Mirror Heisenberg-Virasoro Algebra Noncommutative resolutions of noncommutative isolated singularities Super adaptable grap...

環と代数と表現と不変量 - 2026/9/18の論文13本 18.09.2026

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 $\ast$...

ファジィ部分空間と代数とリー代数 - 2026/9/17の論文5本 17.09.2026

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 Loc...

有限スキューブレースと格子とモノイド - 2026/9/16の論文5本 16.09.2026

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...

ポアソン代数と行列と量子クラスター代数 - 2026/9/15の論文24本 15.09.2026

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 structu...

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