On classical Krull dimension of group-graded rings
نویسندگان
چکیده
منابع مشابه
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.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1997
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s000497270003392x