代数と群とクィバーと環 - 2026/10/27の論文27本

arXiv math.RAの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-27/ Congruence lattices of $2$-valued unary algebras A note on Rota-Baxter affgebras Omni-representations of Leibniz conformal algebras Weakly Unitary Zeon Matrices Reconstruction of the Torsion Free Nilpotent Group from Its Division Ring of the Rational Group Algebra The silp--spli equality for group rings New results on nil rings Classification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive Characteristic Idempotent radicals and factorization systems An eight-dimensional nilpotent Leibniz algebra without outer derivations Poisson closures and Poisson $A$-algebras Finite determinacy and rigidity of quiver potentials 2-generation of Chevalley Lie algebras over finite fields Skew fields of non-commutative meromorphic functions affiliated to finite operator algebras The generalized Dixmier conjecture and the two-dimensional Jacobian conjecture Non-Vanishing Determinant Space-Time Codes from Abelian Crossed Product Algebras A nonstandard selfinjective algebra of Euclidean type From Quaternions to Pentarnions II: quadratic differential equations A Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamics Automatic cocommutativity for the quantum-group comonad The ascending chain condition for radical well-mixed difference ideals Homological and homotopical epimorphisms in monoidal $\infty$-categories Resolution quivers and the QF-1 property of higher Auslander Nakayama algebras Cross work induced by transformations on the symmetric group and related transformation semigroups On Tam's star-shapedness conjecture for numerical ranges of compact adjoint orbits Proofs of strong forms of the Bovdi--Geche universality conjecture and a complex analogue The counts of parity-odd vs even late-growing permutations in the group $\mathbb{S}_{2p-1}$ differ by $(-1)^p$