“School of Mathematics”
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| Paper IPM / M / 471 |
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| Abstract: | |||||
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Let \fraka be an ideal of a local ring (R,\frakm) and let
N be a finitely generated R-module of dimension d. It is
shown that Hd\fraka (N) ≅ H\frakmd (N)/∑n ∈ \BbbN < \frakm > (0:H\frakmd(N)\frakan), where for an Artinian R-module X we put
< \frakm > X=∩n ∈ \BbbN \frakmn X. As a consequence
several vanishing and connectedness results are deduced.
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