Gorenstein内射模

Gorenstein injective modules

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 .