2 papers
math.RT2025
Characterizing higher Auslander(-Gorenstein) Algebras
Zhenhui Ding, Mohammad Hossein Keshavarz, Guodong Zhou
It is well known that for Auslander algebras, the category of all (finitely generated) projective modules is an abelian category and this property of abelianness characterizes Ausl…
math.RT2025
Higher Auslander-Gorenstein Algebras And Gabriel Topologies
Mohammad Hossein Keshavarz, Guodong Zhou
This paper is devoted to study the relationship between two important notions in ring theory, category theory, and representation theory of Artin algebras; namely, Gabriel topologi…