Pure Subgroups of Torsion-Free Groups

DOI10.2307/2000696zbMath0627.20028OpenAlexW4252821553MaRDI QIDQ3031014

Paul Hill, Charles Megibben

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000696

zbMATH Keywords

completely decomposable groupspure subgrouptorsion-free abelian groupsheight sequences\(\Sigma \)-pure subgroupcompletely decomposable \({}^ *\)-pure subgroupStrongly pure subgroupstorsion-free k-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 ⋮ Separable pure subgroups of completely decomposable torsion-free abelian groups ⋮ Mixed Groups

Cites Work

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• Projective modules
• Abelian groups without elements of finite order
• An Extension of the Theory of Completely Decomposable Torsion-Free Abelian Groups
• Strongly Pure Subgroups of Separable Torsion-Free Abelian Groups
• Torsion Free Groups
• Axiom 3 Modules
• Butler groups of infinite rank and axiom 3
• Criteria for Total Projectivity
• On Torsion-Free Abelian k-Groups
• A Class of Torsion-Free Abelian Groups of Finite Rank
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday

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