Shahrood University of TechnologyJournal of Algebraic Systems2345-51285120170901GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS536499710.22044/jas.2017.997ENAbdolnaser BahlekehDepartment of Mathematics, Gonbad Kavous University, P.O. Box 4971799151,
Gonbad Kavous, Iran.T. KakaieDepartment of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa-
han, Iran.Journal Article20161221Let $(R, \m)$ be a commutative noetherian local ring and let $\Gamma$ be a finite group.<br /> It is proved that if $R$ admits a dualizing module, then the group ring $R\ga$ has a<br /> dualizing bimodule as well. Moreover, it is shown that a finitely generated $R\ga$-module $M$ has generalized<br /> Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero<br /> as an $R$-module.https://jas.shahroodut.ac.ir/article_997_21bc08b517c81172cdbfcee37f64093c.pdf