On the ascending chain condition for submodules with a bounded number of generators

DOI10.1080/00927879608825665zbMath0848.16015OpenAlexW1970183108MaRDI QIDQ4880099

Maria Elisa Antunes Simões, Patrick F. Smith

Publication date: 27 October 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825665

zbMATH Keywords

finitely generated free right modulesright Noetherian ringsright Goldie ringsascending chain condition on right annihilatorsdescending chain condition on right annihilatorsascending chain condition on \(n\)-generated submodules

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Rings whose free modules satisfy the ascending chain condition on submodules with a bounded number of generators

Cites Work

• Sur des conditions de chaînes ascendantes dans des modules libres
• Commutative rings with ACC on n-generated ideals
• Noetherian rings whose subidealizer subrings have pan-a.c.c
• On Ascending Chain Conditions
• Unnamed Item

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