The aim of this paper is to characterize $ n $-Gorenstein rings in terms of Gorenstein
injective modules and the Ext functor. We will show that if $ R $ is a left and right noetherian …

The notion of DG-Gorenstein injective complexes is studied in this article. It is shown that a
complex G is DG-Gorenstein injective if and only if G is exact with Z n (G) Gorenstein …

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 $ mathcal {A} $ be an abelian category with enough projective objects and $ mathcal {X}
$ be a full subcategory of $ mathcal {A} $. We define Gorenstein projective objects with …

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 paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …

In this note, it is proven that if R is a right noetherian ring with id R o R<∞ and E xt R i≥ 1
(M, F)= 0 for any left R-module F with finite flat dimension, then M is Gorenstein projective; if …

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 …

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 …

Let 𝑅 be a complete Gorenstein local domain, 𝐽 an ideal of 𝑅 of dimension one, and 𝑁• a
complex of 𝑅-modules bounded below. In this paper, we prove that 𝑁• is a 𝐽-cofinite …