… In this paper, we show that the Gorenstein cohomological dimension Gcd k G … Gorenstein
cohomological dimension, we show that, for any commutative ring k of finite global dimension …

… in LHF, the Gorenstein dimension of G over Q coincides with the cohomological dimension
of G over Q, GcdQG = cdQG, and when G is torsion free, then the Gorenstein dimension of G …

… Gorenstein cohomological dimension GcdRG of groups G over coefficient rings R, under
changes of groups and rings; a characterization for finiteness of GcdRG is given; a Gorenstein …

… Unlike the virtual cohomological dimension, the Gorenstein cohomological dimension … In
this paper, we study the Gorenstein cohomological dimension Gcd k G of groups G, which are of …

… In Section 4, we use that the Gorenstein cohomological dimension is subadditive to improve
… of Bredon cohomological dimension of |$G$| with coefficients restricted to cohomological …

… →M, where G is Gorenstein projective, such that the … Gorenstein projective module Q. We
show that every module M with finite Gorenstein projective dimension admits a nice Gorenstein …

… dimensions. This direction of research … cohomology modules can be computed by Gorenstein
injective resolutions. Here, we will apply the theory of Gorenstein homological dimensions …

… ring R(X, L) = EBn>O H 0 (X, nL) is a Gorenstein ring under natural and fairly mild conditiOns
(cohomology vanishing plus Kx = kxL for some kx E Z, see for example [GW]). Knowing how …

… way of measuring the Gorenstein projective (resp., injective) dimension of modules via a …
us to relate the Gorenstein global dimension of a ring R to the cohomological invariants silp(R) …

… the classes of Gorenstein-projective and Gorenstein-injective … We also study
Gorenstein-injective dimensions in Gorenstein … the objects with Gorenstein-injective dimension ď n …