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| Paper IPM / M / 452 |
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| Abstract: | |||||||
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Let A be a Noetherian ring, let M be a finitely generated
A-module and let Φ be a system of ideals of A. We prove
that, for any ideal \fraka in Φ, if, for every prime
ideal \frakp of A, there exists an integer k(\frakp),
depending on \frakp, such that \frakak(\frakp) kills
the general local cohomology module
HΦ\frakpj(M\frakp) for every integer j less
then a fixed integer n, where
Φ\frakp:={\fraka\frakp:\fraka ∈ Φ}, then
there exists an integer k such that \frakakHΦj(M)=0
for every j < n.
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