Modules satisfying double chain condition on nonfinitely generated submodules have Krull dimension

DOI10.3906/mat-1501-14zbMath1424.16046OpenAlexW2770310017MaRDI QIDQ4633713

Maryam Davoudian

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1501-14

zbMATH Keywords

Krull dimensionDICC-modulesn.f.g-DICC modulesnonfinitely generated 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

Unnamed Item, Unnamed Item, Dimension on non-essential submodules, Modules with chain condition on non-finitely generated submodules, Dimension of non-small submodules, On $alpha $-semi-Short Modules

Cites Work

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• On rings and modules with DICC
• On DICC rings
• On modules with DICC
• Dual Krull dimension and duality
• ATOMIC MODULES
• CHAIN CONDITIONS ON QUOTIENT FINITE DIMENSIONAL MODULES
• On the Countability of Noetherian Dimension of Modules
• Rings Over which the Krull Dimension and the Noetherian Dimension of All Modules Coincide
• N-dimension and n-critical modules.application to artinian modules
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• Dimension de krull et codeviation. Application au theoreme d'eakin
• On_α- dicc modules
• ON THE LOEWY LENGTH AND THE NOETHERIAN DIMENSION OF ARTINIAN MODULES
• On λ-Finitely Embedded Modules
• DIMENSION AND LENGTH FOR ARTINIAN MODULES
• On $\alpha$-Short Modules
• The Dual of the Notion of “Finitely Generated”
• Krull dimension