… Gorenstein dimension. In this paper, we study generalized Gorenstein dimension of finitely
… To be precise, assume that (R,m) is a commutative noetherian local ring and Λ is a noe…

… generalize these results, and to give homological descriptions of the Gorenstein dimensions
over arbitrary associative rings. … Gorenstein projective dimension admits a nice Gorenstein …

This book is intended as a reference for mathematicians working with homological dimensions
in commutative algebra and as an introduction to Gorenstein dimensions for graduate …

… Gorenstein cohomological dimension GcdRG of groups G over coefficient rings R, under
changes of groups and rings; … consider Gorenstein regular ring as a generalization of the ring of …

… Therefore, it is natural to try to establish analogous results for Gorenstein dimensions. In …
In the paper [3], we attempted to extend this result to the setting of Gorenstein dimensions as …

… This result is extended and generalized to any ring recently by the work [24]. The following
… Gorenstein homological dimensions of the group under extensions of coefficient rings; see …

… dimensions. It is natural that this dimension should be called a Gorenstein global dimension…
In this paper we exhibit several classes of rings having finite Gorenstein global dimensions. …

… of generalized Gorenstein rings. almost Gorenstein local rings are generalized Gorenstein
rings and we regard theory of almost Gorenstein local rings as a part of theory of generalized …

… ring. Finally, we provide some examples of rings of finite Gorenstein global and weak
dimensions… It follows that the group ring ZG has finite Gorenstein global dimension and, in …

… group ring K[G] has finite Gorenstein global dimension. It is shown that the Gorenstein global
dimension of … some results which generalize many properties of global dimensions of group …