… of the finiteness of the Gorenstein cohomological dimension, we show that, for any commutative
ring k of finite global dimension and any group G , the finiteness of Gcd k G implies that …

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

… of global dimension of group ring. In the present paper, we investigate when the group ring
K[G] has finite Gorenstein global dimension. It is shown that the Gorenstein global dimension …

… that inherits the properties of the group Γ and the ring of coefficients R. In … of Gorenstein
flat-cotorsion modules for group rings. One of the concerns in the theory of cohomology of groups …

… dimension should be called a Gorenstein global dimension. … classes of rings having finite
Gorenstein global dimensions. … ,... with coefficients in R has finite Gorenstein global dim So we …

… We define the Gorenstein homological dimension of G over R, denoted by GhdRG, as the …
consider Gorenstein homological dimensions of the group under extensions of coefficient rings…

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

… to a proof) those theorems of abstract finite group theory, which are fundamental to the analysis
in … This book would be a valuable companion text for a graduate group theory course."--…

… Gorenstein global dimensions of polynomial rings: proof of … the polynomial ring in one
variable t with coefficients in R, … ) Gorenstein global dimension of R[t], over an arbitrary ring R. …

… Rees’ inequalities, on the first Hilbert coefficients e1(I) of m-… Gorenstein rings and almost
Gorenstein rings as well, according to Definition 3.1. Our Definition 3.1 of almost Gorenstein ring …