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Asymptotic Stability of for Strongly Noetherian Filtration

Year: 2025

Type: article

Abstract: Let be a Noetherian ring, and be a strongly Noetherian filtration on the ring . Then we generalize the Artin-Rees Lemma to strongly Noetherian filtrations. This allows us to show that if the ideal contains an -superficial element of order one which is regular, then the sequence

Source: JP Journal of Algebra Number Theory and Applications

DOI: 10.17654/0972555525014

Authors: N. C. Akaffou, D. Kamano, E. D. Akeke, A. Abdoulaye

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4408998228

FWCI:

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