Butler groups that are unions of subgroups with countable typesets

DOI10.1007/BF01207457zbMath0783.20033OpenAlexW2047486831MaRDI QIDQ689645

Kulumani M. Rangaswamy, László Fuchs

Publication date: 15 November 1993

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

Full work available at URL: https://doi.org/10.1007/bf01207457

zbMATH Keywords

completely decomposable groups\(B_ 1\)-groups\(B_ 1\)-pure subgroups\(B_ 2\)-groupsaxiom-3 familycontinuous well-ordered ascending chain of pure subgroupscountable typesetsfinite rank Butler group

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (3)

Butler groups of infinite rank ⋮ Almost Butler groups ⋮ László Fuchs' 70th birthday

Cites Work

• Butler groups of arbitrary cardinality
• The Functor Bext under the Negation of CH
• Butler Groups of Infinite Rank II
• Butler groups of infinite rank and axiom 3
• Infinite Rank Butler Groups
• A Class of Torsion-Free Abelian Groups of Finite Rank
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