“School of Mathematics”
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| Paper IPM / M / 757 | ||||||||||||||||||||||||
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Let R be a commutative Noetherian ring with nonzero identity and
let M be a finitely generated R-module. In this paper, we
prove that if an ideal I of R is generated by a u.s.d
-sequence on M then the local cohomology module HIi(M) is
I-cofinite. Furthermore, for any system of ideals Φ of R,
we study the cofiniteness problem in the context of general local
cohomology modules.
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