n-Gorenstein Projective Modules and Dimensions over Frobenius Extensions  

作　　者：Miao WANG Zhanping WANG 

机构地区：[1]Department of Mathematicsf Northwest Normal University,Gansu 730070,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2021年第1期25-32,共8页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11561061)。

摘　　要：In this paper, we study n-Gorenstein projective modules over Frobenius extensions and n-Gorenstein projective dimensions over separable Frobenius extensions. Let R ■ A be a Frobenius extension of rings and M any left A-module. It is proved that M is an n-Gorenstein projective left A-module if and only if A ■_(R)M and Hom_(R)(A, M) are n-Gorenstein projective left A-modules if and only if M is an n-Gorenstein projective left R-module. Furthermore, when R ■ A is a separable Frobenius extension, n-Gorenstein projective dimensions are considered.

关 键 词：Frobenius extensions n-Gorenstein projective modules n-Gorenstein projective dimensions 

分 类 号：O153.3[理学—数学]