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| Paper IPM / M / 461 |
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| Abstract: | |
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Let φ:R→ S be a homomorphism of commutative
rings with R Noetherian. We say that φ is locally of
finite injective dimension if the injective dimension of
S\frakm as an R\frakm-module is finite for every
maximal ideal \frakm in S. If R is a Gorenstein ring then
the identity map on R is locally of finite injective dimension.
Therefore, rings which are locally of finite injective dimension
generalizes the notion of Gorenstein ring. The purpose of this
paper is to generalize some well-known results of Gorenstein
rings.
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