Computing the closure of a support
Commutative Algebra
2022-09-20 v1
Abstract
When is an -module over a commutative unital ring , the Zariski closure of its support is of the form where is a unique radical ideal. We give an explicit form of and study its behavior under various operations of algebra. Applications are given, in particular for ring extensions of commutative unital rings whose supports are closed. We provide some applications to crucial and critical ideals of ring extensions.
Cite
@article{arxiv.2209.09158,
title = {Computing the closure of a support},
author = {Gabriel Picavet and Martine Picavet-L'Hermitte},
journal= {arXiv preprint arXiv:2209.09158},
year = {2022}
}