… 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 …

… In this paper, we concentrate chiefly on ideals in one-dimensional rings. The condition that
R is a Gorenstein domain is relaxed to the condition that it is Cohen-Macaulay, and that the …

… the classical Gorenstein dimension, in general. Along the way, we also prove new results,
independent of the reducing dimensions, concerning modules of finite Gorenstein dimension. …

… Gorenstein injective envelopes of modules. Some of the results are well known for modules
over Gorenstein rings … that every Gorenstein injective module is the direct sum of an injective …

… 1.2 by discussing an example of two finite dimensional Gorenstein k -algebras Λ and Γ,
where both are non-self-injective of infinite global dimension such that Λ and Γ are stably …

… modules, I, using the result for its (j − n)th cycle, we observe that ZjI is Gorenstein injective
for all j. Thus, over a Gorenstein ring R, every acyclic complex of injective modules is totally …

… If pd R M and qid R M both are finite, then R is Gorenstein… Gorenstein local ring R the classes
of finitely generated modules of finite quasi-projective and finite quasi-injective dimensions …

… injective module admits a filtration of Gorenstein injective submodules. In this paper, we
extend this result for a ring admitting a dualizing complex. For a Gorenstein injective R-module G…

… Let T = ( A 0 U B ) be a formal triangular matrix ring, where A and B are rings and U is a ( B ,
… is a right coherent ring, U B has finite flat dimension, U A has finite flat or injective dimension, …

… noetherian ring A to satisfy the Gorenstein symmetry … finite injective dimension as a left
module over itself, obtain several necessary and sufficient for A to have finite injective dimension …