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A generalization of the cofiniteness problem in local cohomology modules

A generalization of the cofiniteness problem in local cohomology modules

Abstract 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 ( M ) is I -cofinite. Furthermore, …