The notion of an $\mathcal {L} $ complex (for a given class of $ R $-modules $\mathcal {L} $)
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …

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 …

In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …

We consider a two sided noetherian ring R such that the character modules of Gorenstein
injective left R-modules are Gorenstein flat right R-modules. We then prove that the class of …

Let R be a ring. We introduce the concept of Gorenstein f-projective R-modules and obtain
some closure properties of Gorenstein f-projective R-modules. As a consequence, we …

arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …

Let ℱ be a class of R-modules.#-ℱ complexes are introduced and investigated in this article.
We say that a complex C is a#-ℱ complex if all terms C i are in ℱ for i∈ ℤ, and we denote …

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 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 …

Throughout this paper, R will denote a commutative noetherian ring. If M is an R-module, we
can construct an injective resolvent of M using injective precovers (see Enochs [5]). If we use …