This paper introduces the notion of strongly n-projectively coresolved Gorenstein flat
modules (or strongly n-PGF modules, for short), where n is a nonnegative integer. Using this …

In this paper, we introduce the notion of C-Gorenstein weak injective modules with respect to
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …

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 …

Notes on Strongly n-Gorenstein Projective, Injective and Flat Modules Page 1 Chin. Quart. J. of
Math. 2012, 27 (3): 389—396 Notes on Strongly n-Gorenstein Projective, Injective and Flat …

Let R be a Gorenstein ring. We prove that if I is an ideal of R such that R/I is a semi-simple
ring, then the Gorenstein flat dimension of R/I as a right R-module and the Gorenstein …

This paper generalize the idea of the authors in [3]. Namely, we define and study a particular
case of modules with Gorenstein projective, injective, and flat dimension less or equal than …

Let R be a commutative Noetherian ring, 𝔞 be an ideal of R and denote the derived category
of R-modules. We investigate the theory of local homology in conjunction with Gorenstein …

Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …

Let R be a ring and let 𝒮𝒢ℱ be the class of strongly Gorenstein at right R-modules. We call a
right R-module M a weak Gorenstein cotorsion module if M is in the class 𝒮𝒢ℱ⊥. Properties …

We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …