Indecomposable Butler groups of large cardinalities

DOI10.1007/BF01198957zbMath0725.20040OpenAlexW2073071811MaRDI QIDQ2277582

László Fuchs, Claudia Metelli

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01198957

zbMATH Keywords

endomorphism ringsindecomposable summandsinfinite cardinaltorsion-free abelian groupcompletely decomposable groupcountable Butler groupsascending chain of pure subgroupsButler group of infinite ranksuperdecomposable groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Abelian groups (20K99)

Related Items (4)

Butler groups with finite typesets and free groups with distinguished subgroups ⋮ Endomorphism rings of \(B_2\)-groups of infinite rank ⋮ Abelian group theory in Italy. ⋮ Representations over PID’s with three distinguished submodules

Cites Work

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• Fully rigid systems of modules
• On divisible modules over valuation domains
• Superdecomposable modules over Dedekind domains
• Infinite Abelian groups, Whitehead problem and some constructions
• Countable Butler groups and vector spaces with four distinguished subspaces
• An Extension of the Theory of Completely Decomposable Torsion-Free Abelian Groups
• Butler Groups of Infinite Rank II
• Butler groups of infinite rank and axiom 3
• Sur une Famille de Groupes Abéliens Super-Décomposables

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