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

DOI10.1016/S0022-4049(96)00086-2zbMath0914.16011MaRDI QIDQ1380027

Maria Elisa Antunes Simões, Patrick F. Smith

Publication date: 15 April 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

finitely generated modulesascending chain conditionleft Ore domainsfree right modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Artinian rings and modules (associative rings and algebras) (16P20) Ore rings, multiplicative sets, Ore localization (16U20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (1)

The behavior of ascending chain conditions on submodules of bounded finite generation in direct sums

Cites Work

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• Modules with decompositions that complement direct summands
• Exemples d’anneaux n-acc
• Noetherian rings whose subidealizer subrings have pan-a.c.c
• Dirct products satisfying the ascending chain condition for submodules with a bounded number of generators
• On the ascending chain condition for submodules with a bounded number of generators

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