Gorenstein-Projective Modules over Morita Rings  

作　　者：Dadi Asefa 

机构地区：[1]School of Mathematical Sciences,Shanghai Jiao Tong University Shanghai 200240,China

出　　处：《Algebra Colloquium》2021年第3期521-532,共12页代数集刊（英文版）

基　　金：This work was supported by the NNSFC(National Natural Science Foundation of China)Grant No.11971304.

摘　　要：Let△(φ,ψ)=(ABMA ANBB)be a Morita ring which is an Artin algebra.In this paper we investigate the relations between the Gorenstein-projective modules over a Morita ring△(φ,ψ)and the algebras A and B.We prove that if△(φ,ψ)is a Gorenstein algebra and both Ma and aN(resp.,both NB and BM)have finite projective dimension,then A(resp.,B)is a Gorenstein algebra.We also discuss when the CM-freeness and the CM-finiteness of a Morita ring△(φ,ψ)is inherited by the algebras A and B.

关 键 词：Gorenstein-projective module Gorenstein algebra Morita ring CM-finite 

分 类 号：O15[理学—数学]