“School of Mathematics”
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Paper IPM / M / 460  


Abstract:  
The Rmodule M is called a F A module if there exists
finite submodule N such that M/N is Artinian, and is called an
A F module if there exists Artinian submodule
A such that M/A is finite. We show that if M and K are
F A (or A F ) modules with
Supp (K) ⊆ V(\fraka) then Ext^{i}_{R}(K,H_{\fraka}^{j}(M))
is finite for all i ≥ 0 and j > 0, if R is local and \fraka is an
ideal of dimension one or principal.
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