Associated primes of formal local cohomology modules

Abstract

Let $\mathfrak{a}$ be an ideal of a commutative Noetherian ring $R$ and $M$ a finitely generated $R$-module. In this paper we proved that if $\mathrm{Supp}{\mathfrak{F}}_{\mathfrak{a}}^i(M)$ is finite for all $i<t$, then so is $\mathrm{Ass}({\mathfrak{F}}_{\mathfrak{a}}^t(M))$.

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