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Paper IPM / M / 7389 |
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Abstract: | |||||
Let \fraka be an ideal of commutative Noetherian
ring R and let M and N be finitely generated R-modules.
Let f\fraka(N)=min{j ≥ 0|H\frakaj(N) not
finitely generated} be the \fraka-finiteness dimension of
N. In this paper, among the other things, we show that, for each
i ≤ fa(N),
(i) the set of associated prime ideals of generalized local cohomology module H\frakai (M, N) is finite. (ii)Hai (M, N) is \fraka-cofinite if and only if H\fraka0(HomR(M, H\frakai(N))) is so. Download TeX format |
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