Uniformity in nonreduced rings via Noetherian operators
Commutative Algebra
2025-08-07 v3 Algebraic Geometry
Abstract
We prove a differential version of the Artin-Rees lemma with the use of Noetherian differential operators. As a consequence, we obtain several uniformity results for nonreduced rings.
Keywords
Cite
@article{arxiv.2404.02057,
title = {Uniformity in nonreduced rings via Noetherian operators},
author = {Yairon Cid-Ruiz and Jack Jeffries},
journal= {arXiv preprint arXiv:2404.02057},
year = {2025}
}
Comments
to appear in International Mathematics Research Notices