“School of Mathematics”
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| Paper IPM / M / 8539 |
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| Abstract: | |||||
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Let (R, \frakm) be a commutative Noetherian local ring and let
\fraka be an ideal of R. We give some inequalities between
the Bass numbers of an R-module and those of its local
cohomology modules with respect to \fraka. As an application
of these inequalities, we recover results of Delflno-Marlcy and
Kawasaki by showing that for a minimax R-module M and for any
non-negative integer i, the Bass numbers of the ith local
cohomology module Hi\fraka(M) are finite if one of the
following holds:(a) dim R/\fraka = 1,b)
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