Artinian Serial Modules over Commutative (or, Left Noetherian) Rings are at Most One Step Away from Being Noetherian

DOI10.1080/00927872.2015.1065863zbMath1375.16011OpenAlexW2402265348MaRDI QIDQ2817194

Maryam Davoudian, Omid Ali Shahny Karamzadeh

Publication date: 29 August 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1065863

zbMATH Keywords

finitely generated moduleserial modulesNoetherian dimensiondual perfect dimension

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ Dimension on non-essential submodules ⋮ Dimension of non-finitely generated submodules ⋮ Dimension of non-small submodules ⋮ On $alpha $-semi-Short Modules

Cites Work

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• N-dimension and n-critical modules.application to artinian modules
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• Dimension de krull et codeviation. Application au theoreme d'eakin
• On_α- dicc modules
• α-Noetherian and artinian modules
• DIMENSION AND LENGTH FOR ARTINIAN MODULES

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