Root closure of ideals
Commutative Algebra
2022-10-24 v1
Abstract
We introduce two closure operations on ideals in commutative rings related to the ring operation of root closure. One closure is the result of iterating a root-like operation on ideals infinitely many times, and the other closure arises as a graded component of the root closure of the Rees algebra applied to an ideal. We study the properties of these closures and prove they are distinct operations.
Cite
@article{arxiv.2210.11979,
title = {Root closure of ideals},
author = {Joey Forsman},
journal= {arXiv preprint arXiv:2210.11979},
year = {2022}
}
Comments
20 pages