环的Excellent扩张与Gorenstein投射维数

Excellent Extensions of Ring and Gorenstein Projective Dimensions

文[1]给出Gorenstein模类的一些重要结论,文章主要讨论了S在是环R的Excellent扩张的条件下:Gorenstein模SM与RM之间的相互关系;SM和RM的Gorenstein维数间的相互关系。

In this paper, we discuss the relations between SM and RM of Gorenstein modules, and the relations between SM and RM of Gorenstein dimensions, where S is Excellent extensions of ring R.