August 23, 2025

Uniformity in Nonreduced Rings via Noetherian Operators

YCYairon Cid‐RuizNew Mexico State University JJJack JeffriesUniversity College London

Key Points

Several uniformity results were obtained for nonreduced rings, enhancing the understanding of their structure.
The study introduces a differential version of the artin-rees lemma, crucial for applications in algebra.
Employing noetherian differential operators facilitated new insights into ring uniformity and operability.
This research indicates that further exploration in nonreduced rings may yield even broader algebraic implications.

Abstract

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.

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Cite This Study

Cid‐Ruiz et al. (Sat,) studied this question.

synapsesocial.com/papers/68af570dad7bf08b1eaddd8e https://doi.org/https://doi.org/10.1093/imrn/rnaf260

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