Duality Over Gorenstein 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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In this note we extend duality theorems for crossed products obtained by M. Koppinen and C. Chen from the case of a base field or a Dedekind domain to the case of an arbitrary noetherian commutative ground ring under fairly weak conditions. In particular we extend an improved version of the celebrated Blattner-Montgomery duality theorem to the case of arbitrary noetherian ground rings.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1970
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10975