GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS

Authors

  • Abdolnaser Bahlekeh Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151, Gonbad Kavous, Iran.
  • T. Kakaie 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 $Gamma$ 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.

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Journal title

volume 5  issue 1

pages  53- 64

publication date 2017-09-01

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