| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588833 | Journal of Algebra | 2007 | 9 Pages |
Abstract
In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For an R-module M, we show that Gorenstein projective dimension of M is finite if and only if Gorenstein flat dimension of M is finite provided the Krull dimension of R is finite. Moreover, in the case that R is local, we prove that Gorenstein projective dimension of an R-module M is finite if and only if belongs to the Auslander category of .
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
