On pure subgroups of Cartesian products of integers

DOI10.1007/BF03322445zbMath0671.20052OpenAlexW2079133756MaRDI QIDQ1119745

Manfred Dugas, John M. Irwin

Publication date: 1989

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322445

zbMATH Keywords

pure subgroupsBaer-Specker groupseparable groupspure embeddingsundecidablebasic subgroup\(\aleph _ 1\)- separable groupspure free subgroup

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (3)

On pure subgroups of the Baer-Specker group and weak Crawley groups. ⋮ Some generalizations of torsion-free Crawley groups ⋮ Abelian groups

Cites Work

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• Function topologies on abelian groups
• Verallgemeinerung eines Satzes von Herrn F. Specker
• Slender groups
• On Direct Products of Infinite Cyclic Groups
• The Structure of ω 1 -Separable Groups
• Quotients of reflexive modules
• On basic subgroups of IIz
• How to Construct Almost Free Groups

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