In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension
of a group G over a commutative ring R and we prove that this dimension enjoys all the …

Abstract Distinctive characteristics of Iwanaga–Gorenstein rings are typically understood
through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein …

It is well-known that the weak global dimension of a ring does not exceed its global
dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for …

We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …

Projectively coresolved Gorenstein flat modules were introduced by Saroch and Stovicek
and were shown to be Gorenstein projective. We give characterizations of Gorenstein …

For any group $ G $, the Gorenstein homological dimension ${\rm Ghd} _RG $ is defined to
be the Gorenstein flat dimension of the coefficient ring $ R $, which is considered as an …

For any group G and any commutative ring R, the Gorenstein homological dimension
GhdRG, defined as the Gorenstein flat dimension of the trivial RG-module R, is …

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 …

arXiv:2210.16816v4 [math.AC] 6 Aug 2023 Page 1 arXiv:2210.16816v4 [math.AC] 6 Aug 2023
STABILITY OF PROJECTIVELY CORESOLVED GORENSTEIN FLAT MODULES …

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 …