Author/Authors :
BAHLEKEH A. نويسنده Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151, Gonbad Kavous, Iran. , KAKAIE T. نويسنده Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa- han, Iran.
Abstract :
Abstract. Let (R;m) be a commutative noetherian local ring
and ?? be a nite group. It is proved that if R admits a dualiz-
ing module, then the group ring R?? has a dualizing bimodule, as
well. Moreover, it is shown that a nitely generated R??-module
M has generalized Gorenstein dimension zero if and only if it has
generalized Gorenstein dimension zero as an R-module.