GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
نویسندگان
1 Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa- han, Iran.
2 Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151, Gonbad Kavous, Iran.
doi
10.22044/jas.2017.997چکیده
Let $(R, \m)$ be a commutative noetherian local ring and let $\Gamma$ be a finite group. It is proved that if $R$ admits a dualizing module, then the group ring $R\ga$ has a dualizing bimodule as well. Moreover, it is shown that a finitely generated $R\ga$-module $M$ has generalized Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero as an $R$-module.
