August 23, 2025International Mathematics Research Notices

Uniformity in Nonreduced Rings via Noetherian Operators

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Authors

YCYairon Cid‐RuizNew Mexico State University JJJack JeffriesUniversity College London

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Implication

This work demonstrates a differential version of the Artin–Rees lemma involving noetherian operators, indicating new uniformity results for nonreduced rings.

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.

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Cid‐Ruiz et al. (2025) studied this question.

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

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Implication

This work demonstrates a differential version of the Artin–Rees lemma involving noetherian operators, indicating new uniformity results for nonreduced rings.

Uniformity in Nonreduced Rings via Noetherian Operators

Discussion

Member takes

Implication

Key Points

Cite This Study

Uniformity in Nonreduced Rings via Noetherian Operators

Discussion

Member takes

Implication

Key Points

Cite This Study

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