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 …

In this paper, we introduce the class of quasi-strongly Gorenstein projective modules which
is a particular subclass of the class of finitely generated Gorenstein projective modules. We …

THE EXISTENCE OF GORENSTEIN FLAT COVERS Page 1 MATH. SCAND. 94 (2004), 46-62
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …

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 …

Let R⊂ S be a Frobenius extension of rings and M a left S-module and let X be a class of left
R-modules and Y a class of left S-modules. Under some conditions it is proven that M is a Y …

This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

We present results on reflexive modules over Gorenstein rings which generalize results of
Serre and Samuel on reflexive modules over regular local rings. We characterize Gorenstein …

One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …

In this paper, we give a characterization of Gorenstein orders over a commutative¿-
dimensional Gorenstein local ring (Theorem 1.1) and study some special classes of …

Unless stated otherwise, throughout this paper all rings are associative with identity and all
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …