Cohen’s theorem and eakin-nagata theorem revisited

DOI10.1080/00927870008827126zbMath0967.13012OpenAlexW1994918834MaRDI QIDQ4515495

P. Jothilingam

Publication date: 21 August 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827126

zbMATH Keywords

prime idealnoetherian ringnoetheriannessEakin-Nagata theoremextended submodule

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (max. 100)

S-NOETHERIAN RINGS ⋮ On Lie Nilpotent Rings and Cohen's Theorem ⋮ A Cohen-type theorem for w-Noetherian modules ⋮ An extension of $S$--noetherian rings and modules ⋮ Unnamed Item ⋮ On Cohen's theorem for modules ⋮ A Cohen-type theorem for w-Artinian modules

Cites Work

• Noetherian and Artinian chain conditions of associative rings
• The converse to a well known theorem on Noetherian rings
• Subrings of Artinian and Noetherian rings
• Commutative rings with restricted minimum condition

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