Gorenstein内射模  

Gorenstein injective modules

作　　者：徐辉[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《阜阳师范学院学报（自然科学版）》2011年第4期19-21,共3页Journal of Fuyang Normal University(Natural Science)

摘　　要：Gorenstein内射模是Gorenstein同调代数中最基本的三大模类之一。文章利用经典同调代数中基础的方法,证明Gorenstein内射模类的性质,得到Gorenstein内射模类是内射预解子范畴的结果。Gorenstein homological algebra is a kind of relative homological algebra. Gorenstein injective module is one of three basic kinds of modules. In this paper, we have investigated the properties of Gorenstein injective modules by the methods of the classical homological algebra. And we gain that Gorenstein injective modules class is an injective resolving subcategory. A part of results are well known, and we have applied a new method to prove it .

关 键 词：G-内射模 扩张封闭 内射预解子范畴 保核 

分 类 号：O153.3[理学—数学]