We consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …

We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …

Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …

Gorenstein injective envelopes and covers over <italic>n</italic>-perfect rings Page 1
Quaestiones Mathematicae 30(2007), 35–44. c 2007 NISC Pty Ltd, www.nisc.co.za …

In this paper, we show that if R is a local Cohen–Macaulay ring admitting a dualizing module
Ω, then Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes exist …

Covers and Envelopes over gr-Gorenstein Rings Page 1 Ž . Journal of Algebra 215, 437459
1999 Article ID jabr.1998.7722, available online at http:rrwww.idealibrary.com on Covers and …

We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …

Throughout this paper, R will denote a commutative noetherian ring. If M is an R-module, we
can construct an injective resolvent of M using injective precovers (see Enochs [5]). If we use …

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 …