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Paper IPM / M / 8785  


Abstract:  
Let R be a commutative Noetherian ring, \fraka an ideal of
R, and M, N two finitely generated Rmodules. We prove
that the generalized local cohomology modules H^{t}_{\fraka}(M,N) are \frakacofinite; that is, Ext^{i}_{R}(R/\fraka,H^{t}_{\fraka}(M, N) is finitely generated for all i, t ≥ 0, in the following
cases:
(i) cd(\fraka) = 1, where cd is the cohomological dimension of \fraka in R. (ii) dimR ≤ 2. Download TeX format 

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