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| Paper IPM / M / 8785 |
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| Abstract: | |
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Let R be a commutative Noetherian ring, \fraka an ideal of
R, and M, N two finitely generated R-modules. We prove
that the generalized local cohomology modules Ht\fraka(M,N) are \fraka-cofinite; that is, ExtiR(R/\fraka,Ht\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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