A Splitting Theorem for Local Cohomology and its Applications

Details A Splitting Theorem for Local Cohomology and its Applications A Splitting Theorem for Local Cohomology and its Applications

2010-09-18

arxiv.org/abs/1009.3531v1

Mathematics

Commutative Algebra

to appear in J. Algebra

Scientific paper

Let $R$ be a commutative Noetherian ring and $M$ a finitely generated $R$-module. We show in this paper that, for an integer $t$, if the local cohomology module $H^{i}_\mathfrak{a}(M)$ with respect to an ideal $\frak a$ is finitely generated for all $i

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