Let $ R $ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a
Gorenstein ring of Krull dimension $ d $, every Gorenstein injective module admits a …

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 consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …

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 …

Over a noetherian ring, it is a classic result of Matlis that injective modules admit direct sum
decompositions into injective hulls of quotients by prime ideals. We show that over a Cohen …

We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …

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

In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …

Let R be a local commutative n-Gorenstein ring. The existence of the Gorenstein projective
preenvelopes for finite R-modules is known (it was proved using duality arguments). In the …