Dirct products satisfying the ascending chain condition for submodules with a bounded number of generators

DOI10.1080/00927879508825413zbMath0834.16018OpenAlexW1972115741MaRDI QIDQ4843235

Maria Elisa Antunes Simões, Patrick F. Smith

Publication date: 13 August 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825413

zbMATH Keywords

coproductdirect productascending chain condition\(n\)-generated submodulesfinite right uniform dimension

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (1)

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

Cites Work

• Sur les modules tels que toute suite croissante de sous-modules engendres par n générateurs soit stationnaire
• Sur des conditions de chaînes ascendantes dans des modules libres
• Commutative rings with ACC on n-generated ideals
• Anneaux et modules cohérents
• Semi-Prime Rings with Maximum Condition
• Exemples d’anneaux n-acc
• Noetherian rings whose subidealizer subrings have pan-a.c.c
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• On Ascending Chain Conditions

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