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| Paper IPM / M / 8299 |
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| Abstract: | |
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Let M and N be finitely generated and graded modules over a
standard positive graded commutative Noetherian ring R, with
irrelevant ideal R+. Let HkR+(M, N) be the nth
component of graded generalized local cohomology module
HkR+(M, N). In this paper, we study the asymptotic
behavior of ASSR+(M, N)n) as n→ −∞
whenever k is the least integer j for which the ordinary local
cohomology module HjR+(N) is not finitely generated.
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