On $\alpha$-Short Modules

DOI10.7146/MATH.SCAND.A-16638zbMath1305.16017OpenAlexW2270132057MaRDI QIDQ5397895

Shirali N., Maryam Davoudian, Omid Ali Shahny Karamzadeh

Publication date: 25 February 2014

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-16638

zbMATH Keywords

lattices of submodulesNoetherian modulesdual Krull dimensionshort modules\(\alpha\)-short modules

Mathematics Subject Classification ID

Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (17)

On \(\alpha\)-almost Artinian modules ⋮ Unnamed Item ⋮ On the small Krull dimension of modules ⋮ Unnamed Item ⋮ Modules with chain condition on uncountably generated submoduled ⋮ Dimension of uncountably generated submodules ⋮ 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 ⋮ The Krull dimension of certain semiprime modules versus their \(\alpha \)-shortness ⋮ ON THE CLASSIFICATION OF \alpha-KRULL MODULES ⋮ Dimension of non-small submodules ⋮ On $alpha $-semi-Short Modules

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