RELATIVE PROJECTIVITY AND RELATED RESULTS

Title & Authors
RELATIVE PROJECTIVITY AND RELATED RESULTS
Toroghy, H.Ansari;

Abstract
Let R be a commutative Noetherian ring and let M be an Artinian R-module. Let M$\small{{\subseteq}}$M′ be submodules of M. Suppose F is an R-module which is projective relative to M. Then it is shown that $\small{Att_{R}}$($\small{Hom_{A}}$ (F,M′) :$\small{Hom_{A}}$(F,M) $\small{In^n}$), n $\small{{\in}}$N and $\small{Att_{R}}$($\small{Hom_{A}}$(F,M′) :$\small{Hom_{A}}$(F,M) In$\small{^n}$ $\small{Hom_{A}}$(F,M") :$\small{Hom_{A}}$(F,M) $\small{In^n}$),n $\small{{\in}}$ N are ultimately constant.
Keywords
associated primes;relative projectivity;attached primes;
Language
English
Cited by
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