ホップ代数と環のホモロジー的不変量 - 2026/6/2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/2026-06-02/Some homological resultsin the category of colour $(A,H)$-Hopf modulesOn classical and Gorenstein homological invariants of ringsA Nielsen--Schreier variety of algebras without the PBW propertyThe art of counterpoint: a Mazzola-type three-voice first-species counterpoint modelA natural e\~ne product construction of the Big Witt ringReal Matrices as Linear Combinations of Three Orthogonal MatricesProof of Dittert's conjecture for dimensions \texorpdfstring{\(n\ge 17\)}{n >= 17}A Noetherian Hopf algebra is affine iff its Hopf coradical is affineAlgebraic properties of overflow semiringsWeyl algebras on Braverman-Kazhdan spacesPower Semigroups and Two Rigidity Theorems for GroupsBand Bases as Common Triangular Bases in Cluster Algebras from SurfacesOn rational representations and rational group algebra of $\operatorname{GL}_2(q)$