Onα- dicc modules

DOI10.1080/00927879408824948zbMath0808.16024OpenAlexW2013330691MaRDI QIDQ4290585

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Publication date: 16 March 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824948

zbMATH Keywords

Krull dimensionNoetherian dimensionfinite normalizing extensionschain of submodules\(\alpha\)-DICC modulesDICC modulessemiprime \(\alpha\)-DICC ringsemiprime DICC ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Centralizing and normalizing extensions (16S20)

Related Items

On the Countability of Noetherian Dimension of Modules, On parallel Krull dimension of modules, On \(\alpha\)-almost Artinian modules, Unnamed Item, Unnamed Item, Erratum to “On α-DICC modules” Commun. Algebra. 22(6):1933–1944 (1994), α-Noetherian and artinian modules, Modules with chain condition on uncountably generated submoduled, Dimension of uncountably generated submodules, On \(\alpha\)-tall modules, Unnamed Item, 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, On λ-Finitely Embedded Modules, The Krull dimension of certain semiprime modules versus their \(\alpha \)-shortness, Artinian Serial Modules over Commutative (or, Left Noetherian) Rings are at Most One Step Away from Being Noetherian, ON THE CLASSIFICATION OF \alpha-KRULL MODULES, Dimension of non-small submodules, On $alpha $-semi-Short Modules

Cites Work

• On rings and modules with DICC
• On DICC rings
• On modules with DICC
• The converse to a well known theorem on Noetherian rings
• Dimension de krull et codeviation. Application au theoreme d'eakin
• The Dual of the Notion of “Finitely Generated”