In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …

In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …

We study the Gorenstein weak global dimension of associative rings and its relation to the
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …

Given a non-negative integer n and a ring R with identity, we construct a hereditary abelian
model structure on the category of left R-modules where the class of cofibrant objects …

In this note we characterize the (resp., weak) Gorenstein global dimension for an arbitrary
ring. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein …

We present an alternative way of measuring the Gorenstein projective (resp., injective)
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …

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 characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein Y-flat modules recently studied by S. Estrada, A. Iacob, and MA …

Let 𝒜 be an abelian category and (𝒳, 𝒴) a pair of classes of objects in 𝒜. Inspired by
Bouchiba's work on generalized Gorenstein projective modules, we give a new way of …

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 …