For a class of $ R $-modules $\mathcal {X} $ containing all projective $ R $-modules, the
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …

R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …

COHERENT RINGS AND GORENSTEIN YOKE MODULES Page 1 Journal of Algebra and
Its Applications Vol. 11, No. 2 (2012) 1250028 (8 pages) c© World Scientific Publishing …

This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …

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 …

Gorenstein injective covers and envelopes over noetherian rings Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …

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 investigate the conjecture that every self-orthogonal Gorenstein projective
module is projective. Namely, we give an affirmative answer to this conjecture for a particular …

The notion of $2 $-almost Gorenstein ring is a generalization of the notion of almost
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …