Associated primes of local cohomology module

preprint2004arXivOpen access

Abstract

Let $\fa$ be an ideal of a commutative Noetherian ring RR and MM a finitely generated RR-module. Let tt be a natural integer. It is shown that there is a finite subset XX of $\Spec R$, such that $\Ass_R(H_{\fa}^t(M))$ is contained in XX union with the union of the sets $\Ass_R(\Ext_R^j(R/\fa,H_{\fa}^i(M)))$, where 0≤i<t0\leq i<t and 0≤j≤t2+10\leq j\leq t^2+1. As an immediate consequence, we deduce that the first non $\fa$-cofinite local cohomology module of MM with respect to $\fa$ has only finitely many associated prime ideals.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.