Regularity and intersections of bracket powers
Commutative Algebra
2021-02-23 v3
Abstract
Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely one where finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria.
Cite
@article{arxiv.2007.12738,
title = {Regularity and intersections of bracket powers},
author = {Neil Epstein},
journal= {arXiv preprint arXiv:2007.12738},
year = {2021}
}
Comments
6 pages. Little clarifying bits added throughout. Comments welcome