报告题目 (Title)：Auslander-type Conditions and Weakly Gorenstein Algebras（Auslander型条件和弱Gorenstein代数）

报告人 (Speaker)：黄兆泳教授（南京大学）

报告时间 (Time)：2023年6月9日(周五) 15:00-15:50

报告地点 (Place)：校本部F309

邀请人(Inviter)：高楠

主办部门：理学院数学系

报告摘要：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.