A characterization of countable Butler groups

zbMath0583.20041MaRDI QIDQ1070040

Luigi Salce, Josef Stepan, Ladislav Bican

Publication date: 1985

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1985__74__51_0

zbMATH Keywords

Extbalanced exact sequencesButler groupspure subgroupsascending chain conditionscompletely decomposable torsionfree groupscountable pure subgroupslinearly ordered type set

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (4)

On some subgroups of infinite rank Butler groups ⋮ A result on \(B_ 1\)-groups ⋮ Abelian group theory in Italy. ⋮ Infinite Rank Butler Groups

Cites Work

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• On the $p$-rank of torsion-free Abelian groups of finite rank
• Completely decomposable abelian groups any pure subgroup of which is completely decomposable
• A Class of Torsion-Free Abelian Groups of Finite Rank

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