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 …

A semi-dualizing module over a commutative noetherian ring A is a finitely generated
module C with RHomA (C, C)≃ A in the derived category D (A). We show how each such …

Ding injective modules Page 1 Ding injective modules Alina Iacob Department of
Mathematical Sciences, Georgia Southern University, Statesboro, GA, USA ABSTRACT We …

Over a commutative noetherian ring, we introduce a generalization of Gorenstein projective
and injective modules, which we call, respectively, n-Gorenstein projective and injective …

Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …

We describe the Gorenstein derived categories of Gorenstein rings via the homotopy
categories of Gorenstein injective modules. We also introduce the concept of Gorenstein …

In this article, we study the hereditary torsion theory defined by the set of associated primes
of principle ideals of an integral domain, which is called the g-torsion theory. We first discuss …

A characterization of n-cotilting and n-tilting modules Page 1 Journal of Algebra 273 (2004)
359–372 www.elsevier.com/locate/jalgebra A characterization of n-cotilting and n-tilting …

We give a construction of Gorenstein projective $\tau $-tilting modules in terms of tensor
products of modules. As a consequence, we give a class of non-self-injective algebras …

We prove that for a Frobenius extension, a module over the extension ring is Gorenstein
projective if and only if its underlying module over the base ring is Gorenstein projective. For …