Let $ G $ be a group and $ R $ be a ring. We define the Gorenstein homological dimension
of $ G $ over $ R $, denoted by ${\rm Ghd} _ {R} G $, as the Gorenstein flat dimension of …

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 …

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

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 …

In this paper, we study finiteness criteria for the Gorenstein homological dimension of groups
over a commutative ring of finite weak Gorenstein global dimension and provide good …

Here we relate the Gorenstein dimension of a group $ G $, $\mathrm {Gcd} _ {R} G $, over
$\mathbb Z $ and $\mathbb Q $ to the cohomological dimension of $ G $, $\mathrm {cd} …

Let R be a ring and let H be a subgroup of a finite group G. We consider the weak global
dimension, cotorsion dimension and weak Gorenstein global dimension of the skew group …

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 …

The Gorenstein cohomological dimension of a group G generalizes the ordinary
cohomological dimension of G, in the sense that the two invariants coincide when the latter …