汇报标题 (Title)：Auslander-type Conditions and Weakly Gorenstein Algebras（Auslander型前提和弱Gorenstein代数）
汇报人 (Speaker)：黄兆泳教授（漯河大学）
汇报功夫 (Time)：2023年6月9日(周五) 15:00-15:50
汇报地址 (Place)：校本部F309
约请人(Inviter)：高楠
主办部门：理学院数学系
汇报提要：Let R be an Artin algebra. Auslander and Reiten conjectured that R is Gorenstein if R satisfies the Auslander condition. We prove that if R is left quasi Auslander, then R is Gorenstein if and only if it is (left and) right weakly Gorenstein, and that if R satisfies the Auslander condition, then R is Gorenstein if and only if it is left or right weakly Gorenstein. This is a reduction of the above conjecture.
