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 paper we study the homological dimension of skew group rings and crossed products.
A sufficient condition for R∗ G, a crossed product, to have finite right global dimension is …

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 …

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 …

Let $ G $ be a finite group acting on a ring $ R $ and $ H $ a subgroup of $ G $. In this paper
we compare some homological dimensions over the skew group rings $ RG $ and $ RH …

Let Λ be a finite dimensional algebra over a field k and H a subgroup of a finite group G. In
this paper, we consider the Gorenstein global dimensions and representation dimensions of …

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 …

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 …

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 …

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 …