The existence of the Gorenstein projective precovers over arbitrary rings is an open
question. It is known that if the ring has finite Gorenstein global dimension, then every …

In\cite {Ouarghi}, the authors discuss the rings over which all modules are strongly
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …

In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

We provide a simple proof for a recent result of Bravo, Gillespie and Hovey, showing that
over a left coherent ring for which the projective dimension of at right modules is finite, the …

arXiv:0902.2237v3 [math.AC] 10 Mar 2010 Page 1 arXiv:0902.2237v3 [math.AC] 10 Mar 2010
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …

We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …

We give a sufficient condition for the class of Gorenstein injective modules be precovering: if
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …

We prove that the class of Gorenstein injective modules is covering if and only if it is closed
under direct limits. This adds to the list of examples that support Enochs conjecture: Every …

Full article: All Modules Have Gorenstein Flat Precovers Skip to Main Content Taylor and
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In this paper, we investigate the rings over which a module is Gorenstein flat if and only if it is
Gorenstein projective. Some examples of such rings are given. We show that over such …