A Cohen-type theorem for w-Noetherian modules

DOI10.1080/00927872.2022.2077951zbMath1499.13015OpenAlexW4281653930MaRDI QIDQ5097420

Ke Huang, Fanggui Wang

Publication date: 23 August 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2077951

zbMATH Keywords

Cohen's theoremprime \(w\)-submodule\(w\)-finite type\(w\)-Noetherian moduledistinguished prime \(w\)-submoduleprime \(w\)-ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99) Arithmetic rings and other special commutative rings (13F99)

Cites Work

• Foundations of commutative rings and their modules
• Prime submodules of Noetherian modules
• On chains of prime submodules
• On Cohen's theorem for modules
• The Cohen type theorem and the Eakin-Nagata type theorem for \(S\)-Noetherian rings revisited
• A Cohen-type theorem for Artinian modules
• Commutative rings with restricted minimum condition
• ω-MODULES OVER COMMUTATIVE RINGS
• A Simple Proof of Cohen's Theorem
• On dimensions of finitely generated modules
• On w-modules over strong mori domains
• Cohen’s theorem and eakin-nagata theorem revisited
• A Cohen-type theorem for w-Artinian modules
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