GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151, Gonbad Kavous, Iran.

2 Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa- han, Iran.

Abstract

Let (R,\m) be a commutative noetherian local ring and let Γ 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.

Keywords

Journal of Algebraic Systems
Volume 5, Issue 1
September 2017
Pages 53-64

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