Associated primes of local cohomology module
Commutative Algebra
2016-09-07 v1
Abstract
Let be an ideal of a commutative Noetherian ring and a finitely generated -module. Let be a natural integer. It is shown that there is a finite subset of , such that is contained in union with the union of the sets , where and . As an immediate consequence, we deduce that the first non -cofinite local cohomology module of with respect to has only finitely many associated prime ideals.
Cite
@article{arxiv.math/0410598,
title = {Associated primes of local cohomology module},
author = {Kamran Divaani-Aazar and Amir Mafi},
journal= {arXiv preprint arXiv:math/0410598},
year = {2016}
}
Comments
7 pages, to appear in Proceedings of the American Mathematical Society