GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
Publish place: Journal of Algebraic Systems، Vol: 5، Issue: 1
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-5-1_004
تاریخ نمایه سازی: 18 تیر 1398
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.
Authors
Abdolnaser Bahlekeh
Department of Mathematics, Gonbad Kavous University, P.O. Box ۴۹۷۱۷۹۹۱۵۱, Gonbad Kavous, Iran.
T. Kakaie
Department of Mathematics, University of Isfahan, P.O. Box: ۸۱۷۴۶-۷۳۴۴۱, Isfa- han, Iran.