プレプリどんどん: math.RA
プレプリどんどん: math.RA
プレプリどんどん編集部
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)
リー代数と行列と代数系 - 2026/6/19の論文7本
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/2026-06-19/Nijenhuis Lie $2$-algebrasExplicit descriptions of the subfields $(NL)^{pi}$ and $(NL)^{pi}(NL)^{sep}$ of $NL$ and new explicit criteria for $NL = (NL)^{pi}(NL)^{sep}$Product of two matrices similar to companion matrices over sufficiently large fieldsOrder embeddings of real matrix domainsFree subgroups in weighted Leavitt Path AlgebrasFunctional completeness and primitive positive decomposition of relations on finite domainsEigenvector Varieties
Jun 19
12 min
Rota-Baxter代数とEngel語とSchur環 - 2026/6/18の論文3本
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/2026-06-18/On restricted Rota-Baxter Lie algebras of arbitrary weightSurjectivity of Engel Words on $\mathrm{SL}_2(\mathcal{O})$ and $\mathrm{PSL}_2(\mathcal{O}_2)$Schur rings over cyclic groups having Almost Commutative Terwilliger algebras
Jun 18
5 min
次数付き代数とリー代数とラドン変換 - 2026/6/17の論文5本
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/2026-06-17/Finite basis property for finite graded algebrasA note on the image of graded multilinear polynomials on upper triangular matricesNon-isomorphic restricted Lie algebras with isomorphic restricted enveloping algebrasThe iterated geometric Green's formulaRadon transform for $GL_n(\mathbb{F}_q)$
Jun 17
8 min
代数構造と表現とジョルダン代数 - 2026/6/16の論文11本
arXiv math.RAの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-16/The graded Grothendieck group ${K}_0^{\mathrm{gr}}$ is full for weighted Leavitt path algebrasOn the structure of finite Novikov conformal algebrasA Generalization of UQ RingsJordan rigidity of full matrix algebrasSimple derivations and isotropy on Danielewski-type algebrasA unimodular bijection between harmonic vectors of 2-isomorphic graphsOn reduction and gluing technique of simple-minded systems over self-injective algebrasA construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic caseRight representations of Novikov algebrasOn the Lyapunov equation with the state matrix in companion formDeterminant majorization for hyperbolic polynomials on Euclidean Jordan algebras
Jun 16
19 min
代数系と量子化とクラスター代数 - 2026/6/15の論文6本
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/2026-06-15/The Reduction Theorem for Leavitt Labelled Path Algebras and Its ApplicationsClassification of Finite-Dimensional Lie Algebras with Respect to the Length of Their Chief SeriesNormal extensions of twisted graded Calabi--Yau algebrasHilbert's basis theorem for Poisson Ore extensionsPre-vertex algebras, pre-Poisson vertex algebras and their deformation quantizationsTheory of Infinite Maximal Green Sequences: Finest Stability Data, CBHO Sequence and Cluster quiver pattern
Jun 15
11 min
実結合代数と環と符号と半環 - 2026/6/12の論文6本
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/2026-06-12/Near-Trinions: Complete Classification of Unital Three-Dimensional Real Associative AlgebrasTwo-sided tilting complexes over symmetric algebras sending simple modules to shifts of modulesRings with Clean-Like Properties: Endomorphism, Matrix and Structural TheoremsRoots of polynomials over semirings and hyperfields$W-\delta-\mu$ dual codes and LCD codesSilting subcategories and (co)torsion pairs associated to extended hearts
Jun 12
10 min
ウェイル代数と暗号系とホッホシールド複体 - 2026/6/11の論文4本
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/2026-06-11/Graded identities of the first Weyl algebra and its generalizationsTernary public-key cryptosystemSingular Hochschild complex and Cartan matrix$\tau$-tilting modules, depth and delooping level
Jun 11
7 min
行列と代数構造と量子群 - 2026/6/10の論文7本
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/2026-06-10/On the Spectral Region of n-Cycle Stochastic MatricesCurved DG Modules and Matrix Factorizations from Noncommutative Quadric HypersurfacesGeneralized superderivations of the super Virasoro algebrasOn the semigroups of fence-decreasing and fence-preserving transformations on a finite fenceOn the Positivity of a Class of Cauchy-Like MatricesOn concatenation of matrices for reversible linear codes over a finite commutative ring and applications to DNA codesA quiver approach to quasi-quantum groups with the Chevalley property
Jun 10
12 min
リー環とジョルダン超代数とヤンバクスター方程式 - 2026/6/9の論文11本
arXiv math.RAの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-09/Uniqueness of addition in Lie rings $\mathfrak{gl}_n(K)$ and $\mathfrak{sl}_n(K)$Twisted generalized Weyl Poisson algebras of type $(A_1)^n$Octonionic structure operator and its right spectrumSimple unital Jordan superalgebrasBialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebrast-g-radical supplemented modulesSkew-symmetric Frobenius dialgebras, diassociative bialgebras and Yang-Baxter equationsMultiplicative One-Sided Ideal Theory of Hereditary Noetherian Prime RingsKronecker products and iterated matrix multiplicationLocally finite sets of derivationsBraided cohomology of quasi-triangular bialgebras and braided Morita invariance
Jun 9
18 min
bialgebraとLie代数とクラスター代数 - 2026/6/8の論文3本
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/2026-06-08/Mock-pre-Lie bialgebrasDerivations and local derivations on Euclidean Lie algebrasA Comparison of cluster algebra structures arising from $i$-boxes and Demazure weaves
Jun 8
5 min
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