ATOMIC MODULES

DOI10.1081/AGB-100104985zbMath0991.16013OpenAlexW4242525025MaRDI QIDQ2747107

A. R. Sajedinejad, Omid Ali Shahny Karamzadeh

Publication date: 13 May 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100104985

zbMATH Keywords

Artinian modulesNoetherian dimensiontorsion-free modulesatomic modulesdual Krull dimensioncommutative domains

Mathematics Subject Classification ID

Integral domains (13G05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Other special types of modules and ideals in commutative rings (13C13)

Related Items (21)

On parallel Krull dimension of modules ⋮ On \(\alpha\)-almost Artinian modules ⋮ Unnamed Item ⋮ On the small Krull dimension of modules ⋮ On the countably Noetherian dimension of modules ⋮ Unnamed Item ⋮ Modules with chain condition on uncountably generated submoduled ⋮ Dimension of uncountably generated submodules ⋮ p-semisimple modules and type submodules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On \(\alpha\)-tall modules ⋮ Unnamed Item ⋮ Dimension on non-essential submodules ⋮ Modules satisfying double chain condition on nonfinitely generated submodules have Krull dimension ⋮ Modules with chain condition on non-finitely generated submodules ⋮ Dimension of non-finitely generated submodules ⋮ Rings Over which the Krull Dimension and the Noetherian Dimension of All Modules Coincide ⋮ ON THE CLASSIFICATION OF \alpha-KRULL MODULES ⋮ Dimension of non-small submodules ⋮ On $alpha $-semi-Short Modules

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