Superdecomposable modules over Dedekind domains

DOI10.1007/BF01899239zbMath0494.16011MaRDI QIDQ1169023

Klaus Meinel

Publication date: 1982

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

zbMATH Keywords

direct summandscomplete valuation ringalmost finite extensionsuperdecomposable R-modules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (7)

Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings ⋮ On divisible modules over valuation domains ⋮ A generalization of Whitehead's problem and its independence ⋮ Commutative rings with no super-decomposable modules ⋮ Every cotorsion-free algebra is an endomorphism algebra ⋮ SuperdecomposableE(R)-Algebras ⋮ Indecomposable Butler groups of large cardinalities

Cites Work

• Mehrfach perfekte Körper
• Sur une Famille de Groupes Abéliens Super-Décomposables
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
• Modules Over Dedekind Rings and Valuation Rings
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