ON GENERALIZATION OF NAKAYAMA'S LEMMA

DOI10.1017/S0017089510000467zbMath1204.13010OpenAlexW2148414634WikidataQ124812863 ScholiaQ124812863MaRDI QIDQ4933573

Abdulrasool Azizi

Publication date: 14 October 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089510000467

zbMATH Keywords

perfect ringNakayama lemmafinitely annihilated module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Related Items (5)

The Nakayama Property of a Module and Related Concepts ⋮ Nakayama's lemma for acts over monoids. ⋮ Modules with Nakayama's property. ⋮ A note on \(S\)-Nakayama's lemma ⋮ Modules satisfying the weak Nakayama property

Cites Work

• Unnamed Item
• Height of prime and weakly prime submodules
• Prime submodules and flat modules
• Radical formula and prime submodules
• A characterization of prime submodules
• Spectra of modules
• ARTINIAN RINGS AND THE H-CONDITION

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