On rings and modules with DICC

DOI10.1016/0021-8693(86)90207-3zbMath0589.13009OpenAlexW1971644269MaRDI QIDQ1073843

Maria Contessa

Publication date: 1986

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

Full work available at URL: http://hdl.handle.net/2027.42/26128

zbMATH Keywords

almost-divisibilityArtinian submodulechain of submodulesDICC

Mathematics Subject Classification ID

Divisibility and factorizations in commutative rings (13A05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (8)

On seminoetherian rings and modules ⋮ On modules with DICC ⋮ Groups satisfying the double chain condition on subnormal subgroups ⋮ On_α- dicc modules ⋮ Groups satisfying the double chain condition on non-subnormal subgroups ⋮ Modules satisfying double chain condition on nonfinitely generated submodules have Krull dimension ⋮ Subdirect products of injectives ⋮ The Krull dimension of certain semiprime modules versus their \(\alpha \)-shortness

Cites Work

• Unnamed Item
• Injective modules over Noetherian rings
• Modules With Descending Chain Condition
• Artinian modules are countably generated
• The Dual of the Notion of “Finitely Generated”

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