Mathematics – Commutative Algebra
Scientific paper
2005-12-03
Mathematics
Commutative Algebra
7pages, Archiv der Mathematik
Scientific paper
Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$, and let $M$ be a finitely generated $R$-module. For a non-negative integer $t$, we prove that $H_{\fa}^t(M)$ is $\fa$-cofinite whenever $H_{\fa}^t(M)$ is Artinian and $H_{\fa}^i(M)$ is $\fa$-cofinite for all $i
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