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| Paper IPM / M / 7710 |
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| Abstract: | |
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We show that the i-th generalized local cohomology module of
finitely generated graded modules M and N over a standard
positive graded commutative Noetherian ring R, with respect to
the irrelevant ideal R+, is itself graded; all its graded
components are finitely generated modules over R0, the
component of R of degree 0. Also we prove that the n-th
component of HiR+(M,N)n of this generalized local
cohomology module HiR+(M,N) is zero for all n >> 0.
Moreover, in this paper, we study the asymptotic behaviour of
AssR0(HiR+(M,N)n) as n→ −∞ in the
following cases: beginitemize
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