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A note on the Cohen type theorem and the Eakin-Nagata type theorem for uniformly S-Noetherian rings

2023/02/18 by Xiaolei Zhang, Zhang, Xiaolei
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2302.09296

openalex publication_date 2023/02/18 · openalex created_date 2023/02/22 · openalex updated_date 2026/07/28

Abstract

In this note, we give the Cohen type theorem for uniformly S-Noetherian modules and the Eakin-Nagata type theorem for uniformly S-Noetherian rings. We also solve an open question proposed by Kim and Lim [5,Question 4.10].

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