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| Paper IPM / M / 8277 |
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| Abstract: | |||||
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Assume that R = ⊕i ∈ \mathbbN0 Ri is a
homogeneous graded Noetherian ring, and that M is a
\mathbbZ-graded R-module, where \mathbbN0 (resp.
\mathbbZ) denote the set all non-negative integers (resp.
integers). The set of all homogeneous attached prime ideals of the
top non-vanishing local cohomology module of a finitely generated
module M, HcR+(M), with respect to the irrelevant
ideal R+: ⊕i ≥ 1 Ri and the set of associated
primes of HiR+(M) is studied. The asymptotic behavior
of HomR(R/R+, HsR+(M)) for s ≥ f(M) is
discussed, where f(M) is the finiteness dimension of M. It is
shown that HhR+(M) is tame if HiR+ is Artinian
for all i > h.
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