In this article, we introduce and study the Gorenstein cotorsion dimension of modules and
rings. It is shown that this dimension has nice properties when the ring in question is left GF …

Let R be a ring. An R-module N is called Gorenstein cotorsion module if Ext R 1 (F, N)= 0 for
any Gorenstein flat R-module F. We investigate some properties of Gorenstein cotorsion …

In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

In this article, we establish, as a generalization of a result on the classical homological
dimensions of commutative rings, an upper bound on the Gorenstein global dimension of …

In this paper, let R be a commutative ring and C a semidualizing module. We investigate the
(weak) C-Gorenstein global dimension of R and we get a simple formula to compute the C …

Let (A, B) be a cotorsion pair in R-Mod. We define and study notions of A dimension and B
dimension of unbounded complexes, which is given by means of dg-projective resolution …

Let R be a ring and S an excellent extension of R. In this paper we study the Gorenstein
homological dimensions over R and S. We show that if M is an S-module, then MR is …

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 …

Let R be a ring such that all flat R-modules have finite strongly FP-injective dimension. We
obtain that the class of all Gorenstein projective modules forms a left-hand class of complete …

The classical global and weak dimensions of rings play an important role in the theory of
rings and have a great impact on homological and commutative algebra. In this paper, we …