CHAIN CONDITIONS ON NON-SUMMANDS

DOI10.1142/S0219498811004707zbMath1242.16023OpenAlexW1964205553MaRDI QIDQ3103645

Pınar Aydoğdu, Ayşe Çiğdem Özcan, Patrick F. Smith

Publication date: 8 December 2011

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811004707

zbMATH Keywords

semisimple modulesregular modulesNoetherian modulesArtinian modulesascending chain conditionsemiregular ringsdescending chain conditionnon-summands

Mathematics Subject Classification ID

Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

Unnamed Item, Modules with epimorphisms on chains of submodules, Some variants of ascending and descending chain conditions

Cites Work

• Unnamed Item
• Quasi-injective modules with acc or dcc on essential submodules
• Modules with supplements
• On cofinite-dimensional modules
• Modules with chain conditions on superfluous submodules
• Rings with dcc on essential left ideals