The main objective of this paper is to study the relative derived categories from various
points of view. Let A be an abelian category and C be a contravariantly finite subcategory of …

Sather-Wagstaff et al. proved in [8](S. Sather-Wagsta, T. Sharif and D. White, Stability of
Gorenstein categories, J. Lond. Math. Soc.(2), 77 (2)(2008), 481–502) that iterating the …

Given a homomorphism of commutative noetherian rings R→ S and an S-module N, it is
proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally …

The main purpose of this article is to present some applications of the notion of Gorenstein
injective dimension of complexes over an associative ring. Among the applications, we give …

For any ring R and any positive integer n, we prove that a left R-module is a Gorenstein n-
syzygy if and only if it is an n-syzygy. Over a left and right Noetherian ring, we introduce the …

In this article, we investigate the change of rings theorems for the Gorenstein dimensions
over arbitrary rings. Namely, by the use of the notion of strongly Gorenstein modules, 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 R and S be rings, and let R ω S be a semidualizing bimodule. We prove that there exists
a Morita equivalence between the class of∞-ω-cotorsion-free modules and a subclass of the …

This thesis is comprised of three chapters. The first chapter deals with bounded complexes
of Gorenstein projective and Gorenstein injective modules. Deploying methods of relative …

We consider the following question: Is Gorenstein homology a X-pure homology, in the
sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein …