X-强n-Gorenstein投射模  

X-strongly n-Gorenstein projective modules

作　　者：张翠萍 张文菲 杨富霞 ZHANG Cuiping;ZHANG Wenfei;YANG Fuxia(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2023年第8期26-32,42,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11761060)。

摘　　要：设X是包含投射模的模类。引入X-强n-Gorenstein投射模的概念,给出了一些基本性质。证明了对非负整数n,R-模M的X-Gorenstein投射维数不超过n当且仅当M是某个X-强n-Gorenstein投射模的直和项。Let X be a class of containing projective modules.In this paper,the concept of the X-strongly n-Gorenstein projective modules is introduced.We give some basic properties and prove that the X-Gorenstein projective dimension of a module M does not exceed a non-negative integer n if and only if M is the direct summand of a X-strongly n-Gorenstein projective module.

关 键 词：X-Gorenstein投射模 X-Gorenstein投射维数 X-强n-Gorenstein投射模 

分 类 号：O153.3[理学—数学]