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Paper IPM / M / 461  


Abstract:  
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 wellknown results of Gorenstein
rings.
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