关于弱Gorenstein内射模和平坦模的一个注记

A note on the weak Gorenstein injective and flat modules

Gorenstein同调模是同调代数理论研究中的一项重要课题。文中主要研究的是弱Gorenstein内射模与平坦模,在一般的结合环上讨论这两类模的相关性质,进一步探讨了在左wGF-封闭环上弱Gorenstein平坦模的等价刻画。

Gorenstein homological module is an important subject in the study of homological algebraic theory.In this paper,we mainly study weak Gorenstein injective module and flat module.The properties of these two kinds of modules are discussed on general combined rings,and the equivalent characterization of weak Gorenstein flat module on left closed wGF rings is further discussed.