It is well known that, given a ring R, if M is an R-module such that pdR (M)<∞, then GidR
(M)= idR (M)(Holm, 2004). This shows in particular that if R is a Noetherian ring such that …

The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …

Unlike the Gorenstein projective and injective dimensions, the majority of results on the
Gorenstein flat dimension have been established only over Noetherian (or coherent) rings …

This paper discusses a variant theory for the Gorenstein flat dimension. Actually, since it is
not yet known whether the category GF (R) of Gorenstein flat modules over a ring R is …

In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …

This article is concerned with the strongly Gorenstein flat dimensions of modules and rings.
We show this dimension has nice properties when the ring is coherent, and extend the well …

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 paper, we prove that the global Gorenstein projective dimension of a ring $ R $ is
equal to the global Gorenstein injective dimension of $ R $ and that the global Gorenstein …

Throughout this paper, if not specified otherwise, R denotes an associative ring with identity
and all modules are unital left R-modules. Every result given for left modules has a …

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 …