Let R be a commutative ring. An R-module M is said to be super finitely presented if there is
an exact sequence of R-modules where each P i is finitely generated projective. In this …

Let R be a commutative ring. The Gorenstein super finitely presented dimension of R is
defined as Gs. gl.\dim (R)=\sup {Gpd _ RM\,|\, M Gs. gl. dim (R)= sup Gpd RM| M is a super …

In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

This paper is a continuation of the papers J. Pure Appl. Algebra, 210 (2007), 437–445 and J.
Algebra Appl., 8 (2009), 219–227. Namely, we introduce and study a doubly filtered set of …

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 …

We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …

In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …

In this paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …

Let k be a field of arbitrary characteristic, let Λ be a finite dimensional k-algebra, and let V be
a finitely generated Λ-module. FM Bleher and the third author previously proved that V has a …

Let R be a commutative Noetherian ring. It is shown that the finitely generated R-module M
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …