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 …

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 …

In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …

We prove that if the ring R is left noetherian andif the class of Gorenstein injective modules,
GI, is closed under ltrations, then GI is precovering. We extend this result to the category of …

Abstract It was recently proved ([12]) that the class of Gorensteininjective left R-modules is
both covering and enveloping over a two sided noetherian ring R with the property that the …

A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

Full article: All Modules Have Gorenstein Flat Precovers Skip to Main Content Taylor and
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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 …

Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …

Gorenstein injective covers and envelopes over noetherian rings Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …