Commutative rings with no super-decomposable modules

DOI10.1007/BF01194048zbMath0526.13010OpenAlexW4254447860MaRDI QIDQ594936

Paul E. Jambor

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194048

zbMATH Keywords

artinian principal ideal ringdiscrete valuation domainssuper-decomposable module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

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• Superdecomposable modules over Dedekind domains
• Every cotorsion-free algebra is an endomorphism algebra
• Countably generated modules over commutative Artinian rings
• Rings whose modules have nice decompositions
• Sur une Famille de Groupes Abéliens Super-Décomposables
• Decomposability of Finitely Presented Modules
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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