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| Paper IPM / M / 7713 |
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| Abstract: | |
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Let \fraka be an ideal of Noetherian ring R and
let s be a non-negative integer. Let M be an R-module such
that ExtsR(R/ \fraka,M) is finite R-module. If s is the
first integer such that the local cohomology module
Hs\fraka(M) is non \fraka-cofinite, then we show that
HomR(R/ \fraka, Hsa(M)) is finite. In particular, the set
of associated primes
of Hs\fraka(M) is finite. (R, \frakm) be a local Noetherian ring and let M be a
finite R-module. We study the last integer n such that the
local cohomology module Hn\fraka(M) is not
\frakm-cofinite and show that n just depends on the support
of M.
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