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)

  1. 15h ago

    リー代数と除代数とヤコビアン - 2026/7/23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/2026-07-23/ Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over realsA Reduced-Trace-Zero Element That Is Not a Commutator in a Central Division AlgebraDittert's conjecture in dimension 16 via a joint-deficit scaling lemmaDerived representation schemes with arbitrary coefficients and associative smoothnessA Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical RootsA Matrix-Degree Obstruction to Rational Generation of Boolean-Lattice Pseudo-Roots

  2. 1d ago

    零因子とテンソルと準体 - 2026/7/22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/2026-07-22/ Basic Zero Divisor Mathematics (I)A Counterexample to Wehlau's Conjecture on Noether NumbersRemainders of generalised Taylor expansions and a priori bounds for rough differential equationsOn the Slice Rank of Tensors in P-Echelon FormOn the autotopism groups and the equivalence of finite cyclic semifields

  3. 2d ago

    代数構造とグラフと行列と符号 - 2026/7/21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/2026-07-21/ Directed Extended Zero Divisor Graphs Of Non-Commutative SemigroupsThe group $\mathrm{TK}_1$ of graded and valued division algebrasHochschild theory of multiplicative sequences of algebras and coalgebra measuringsAffinization of algebraic structures: Poisson algebrasCohomology for Deformation maps on quasi-twilled Lie triple systemsExpanding Generalized Fine RingsA Log-Log Saving for Matrix-Algebra Length and TersenessClifford and Weyl algebras in symmetric tensor categoriesVariations on a circular Hessenberg pairSkew CRT codes and their decoding in poly skew metricTotally Positive Matrices and the Highest-Order Coefficients of the Characteristic Polynomial

  4. 3d ago

    環と代数と逆行列と群 - 2026/7/20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/2026-07-20/ New partial orders on Rickart *-ringsBounds on Frobenius dimensionDirect Methods for Singular Fuzzy Linear Systems Using Generalized Inverses and Its ApplicationsNotes on universal C*-algebrasOn Generalized von Neumann Inverse Graphs of Finite Commutative Regular RingsThe Mathieu group ${\sf M}_{12}$ vs ${\mathbf{SL_3(3)}}$ in characteristic 3

  5. 6d ago

    行列とホップ代数とシンプレクティック形式 - 2026/7/17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/2026-07-17/ $m$-nil-clean nonderogatory matricesQuotients of strongly graded quasi-Hopf algebrasLarge affine spaces of symplectic formsOn the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution AlgebrasIn Memoriam: Professor Dr. Winfried Bruns (1946--2026)

  6. Jul 16

    表現とモノイドとヤンバクスター方程式 - 2026/7/16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/2026-07-16/ Words don't come easy: strong affine representations of the polycyclic monoidsInvolutions of (twisted) diagram monoidsGaussian solutions to the Yang--Baxter equation and their twists

  7. Jul 15

    行列と代数構造と量子アルゴリズム - 2026/7/15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/2026-07-15/ Dual orthogonal tripotent matricesInitial pre-algebras as a generalization of dendriform algebrasQuantum algorithm for Clifford multiplicationThe Center of the Temperley-Lieb AlgebraAlgebraic structures on non-Archimedean Urysohn universal metric spacesClifford semigroups and the monoidal Grothendieck construction

  8. Jul 14

    行列と代数構造と不決定性 - 2026/7/14の論文20本

    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/2026-07-14/ Undecidability of the quasi-isomorphism problem for semi-free dg algebras via the cobar constructionHigher-power inverse functional identities and Frobenius collision obstructionsUniversal optimality of the double-centred matrix under unitarily invariant norms for dissimilarity dataCompleting the rank identity for Hadamard powers of Euclidean distance matricesGelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and ClassificationThe finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$Commutativity of Factor Ring R/P via *-Reverse P-DerivationsCommutator-based Solutions to $AXA = XAX$ when $A^n = tA^2$Generalized EP properties of (b c) inversesMatrix generators for the unit groups of $L_K(1,d)$Extended generalized permutahedra, and cointeracting bialgebrasPoisson derivations and cohomology of Poisson nilpotent algebrasSuperconformal algebras over arbitrary rings of coefficientsHigher Structures of Rota--Baxter Lie $H$-PseudoalgebrasCounterexamples to a multivariable matrix Young conjectureThe Dirac equation in (split-)octonions: origins, variants, and modern contextHomological rigidity of quiver representations over $\mathbb{F}_1$Properties of the Tropical Characteristic Polynomial of Symmetric Matrices$\mathfrak{so}_n(\mathbb{C})$-modules which are free over an abelian nilradicalGlobal dimension of a string algebra

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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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