Almost higher Auslander correspondence
代数表示论团队学术报告
报告题目(Title)：Almost higher Auslander correspondence
报告人(Speaker)：李珅 博士 (山东大学数学科学学院)
地点(Place)：教8楼209教室
时间(Time)：2019年10月24日 14:25-15:35
邀请人(Inviter)：刘玉明
报告摘要
Motivated by Iyama's (m,n)-condition, we investigate the relative dominant dimension with respect to an injective module whose projective dimension is finite. First we characterize the algebras with finite such relative dominant dimension. Then as an application, we introduce the almost n-precluster tilting module and prove the almost higher Auslander correspondence, that is, there is a one-to-one correspondence between almost n-precluster tilting modules and almost n-minimal Auslander-Gorenstein algebras. This is a generalization of the higher Auslander correspondence. Moreover, we describe the Gorenstein projective modules over almost n-minimal Auslander-Gorenstein algebras in terms of the corresponding almost n-precluster tilting modules.
