In this paper, we introduce Gorenstein weak injective and weak flat modules in terms of,
respectively, weak injective and weak flat modules; the classes of Gorenstein weak injective …

We show that any module admits a presentation as the quotient of a Gorenstein projective
module by a submodule which is itself right orthogonal, with respect to the standard Ext 1 …

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 …

In the paper, we investigate the lifting of recollements with respect to Gorenstein-projective
modules. Specifically, a homological ring epimorphism can induce a lifting of the …

Let R by a right coherent ring and R-Mod denote the category of left R-modules. We show
that there is an abelian model structure on R-Mod whose cofibrant objects are precisely the …

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 …

Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …

A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …

Gorenstein derived categories are defined, and the relation with the usual derived
categories is given. The bounded Gorenstein derived categories of Gorenstein rings and of …

Let A and B be rings and U a (B, A)-bimodule. If BU is flat and UA is finitely generated
projective (resp., BU is finitely generated projective and UA is flat), then the characterizations …