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| Paper IPM / M / 7992 |
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| Abstract: | |
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For a finitely generated module M, over a commutative Noetherian
local ring (R,\frak m), it is shown that there exist only a
finite number of non-isomorphic top local cohomology modules
H\frak adim(M)(M), for all ideals \frak a of
R. It is also shown that for a given integer r ≥ 0, if
H\frak ar(R/ \frak p) is zero for all \frak p in Supp (M),
then H\frak a i(M)=0 for all i ≥ r.
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