環と代数と表現と不変量 - 2026/9/18の論文13本

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 $\ast$-Reversible Rings Transposed Triple Products and Pro-Symmetric Rings in $\ast$-Rings Induced and Restricted Representations of Kumjian--Pask Algebras of Higher-Rank Graphs Range-compatible homomorphisms on Hermitian matrices Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with transpose superinvolution Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with $G$-graded involution Directed partial orders on the complex number field Tachikawa's second conjecture implies the Auslander-Reiten conjecture Canonical resolved-transport decomposition and reconstruction of local-unit-aligned ordered semigroups