T. Kakaie
Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa- han, Iran.
[ 1 ] - GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
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 $Rga$ has a dualizing bimodule as well. Moreover, it is shown that a finitely generated $Rga$-module $M$ has generalized Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero as an $R$-module.
نویسندگان همکار