Completely decomposable pure subgroups of completely decomposable Abelian groups

zbMath0832.20078MaRDI QIDQ1891518

G. Viljoen, László Fuchs

Publication date: 25 February 1996

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_1994__92__63_0

zbMATH Keywords

completely decomposable groupspure subgroupsascending chains of pure subgroupscompletely decomposable pure subgroupscountable factorsprebalanced chains

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)

László Fuchs' 70th birthday ⋮ On completely decomposable and separable modules over Prüfer domains ⋮ \(PB^ \infty\)-subgroups of Butler groups

Cites Work

• Unnamed Item
• On abelian groups by which balanced extensions of a rational group split
• Separable pure subgroups of completely decomposable torsion-free abelian groups
• Butler groups of infinite rank
• Torsion Free Groups
• Completely decomposable abelian groups any regular subgroup of which is completely decomposable
• Completely decomposable abelian groups any pure subgroup of which is completely decomposable
• Subgroups of butler groups
• On Completely Decomposable Groups

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