Rings Over which the Krull Dimension and the Noetherian Dimension of All Modules Coincide

DOI10.1080/00927870802254835zbMath1172.16012OpenAlexW1973213435MaRDI QIDQ3619581

Nasrin Shirali, Jamal Hashemi, Omid Ali Shahny Karamzadeh

Publication date: 8 April 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802254835

zbMATH Keywords

Noetherian modulesArtinian modulesduo ringsNoetherian dimensiondual Krull dimensionfinitely embedded modules

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

On seminoetherian rings and modules ⋮ On \(\alpha\)-almost Artinian modules ⋮ On the small Krull dimension of modules ⋮ Unnamed Item ⋮ Modules with chain condition on uncountably generated submoduled ⋮ Unnamed Item ⋮ On \(\alpha\)-tall modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dimension on non-essential submodules ⋮ ON G-TYPE DOMAINS ⋮ Modules satisfying double chain condition on nonfinitely generated submodules have Krull dimension ⋮ Modules with chain condition on non-finitely generated submodules ⋮ ON THE CLASSIFICATION OF \alpha-KRULL MODULES ⋮ On $alpha $-semi-Short Modules

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