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八元環と四元環と形式行列とニル環 - 2026/10/6の論文17本
プレプリどんどん: math.RA · 6 октября 2026 г. · 32 мин
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 Formal Matrix Rings with the Involution Property Hypergraphs associated to skew polynomial algebras and surface triangulations A simple construction of a simple nil ring Genus of quaternion algebras over formally real fields Baer-Type Ring Characterizations of Steinberg Algebras, with Applications to Leavitt Path Algebras Graded bimodules over split group algebras: stabilizers and Peirce decompositions Non-dyadic Laver algebras On Reversible Rings, Their Generalization and Quasi-Idempotent Elements On the asymptotic Makar-Limanov rank conjecture Suslin-Rao Codes : the bridge between pure and applied Cartan inverse semigroups and twisted Steinberg algebras An elementary proof of the Artin--Springer theorem for generalized quadratic forms over quaternion algebras Symmetric Grassmann Formulas: Monotone Dimension-Defect Hierarchies