An application of set theory to \(\omega+n\)-totally \(p^{\omega+n}\)-projective primary Abelian groups.

DOI10.1007/s00009-010-0088-2zbMath1247.20063OpenAlexW2034000513MaRDI QIDQ662627

Peter V. Danchev, Patrick W. Keef

Publication date: 24 February 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0088-2

zbMATH Keywords

totally projective groupsprimary Abelian groupsvaluated vector spacesdirect sums of cyclic groupsundecidability in ZFC

Mathematics Subject Classification ID

Consistency and independence results (03E35) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (8)

STRONGLY AND SOLIDLY ω1-WEAK pω·2+n-PROJECTIVE ABELIAN p-GROUPS ⋮ On properties of \(n\)-totally projective Abelian \(p\)-groups. ⋮ On variations of \(m,n\)-simply presented Abelian \(p\)-groups. ⋮ On \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective Abelian \(p\)-groups. ⋮ Some aspects of \((\omega +1)\)-projectives ⋮ Classes of Subgroups of Simply Presented Primary Abelian Groups ⋮ ON ALMOST n-SIMPLY PRESENTED ABELIAN p-GROUPS ⋮ Primary abelian almost \(n\)-\(\Sigma\)-groups.

Cites Work

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• High subgroups of Abelian torsion groups
• On \(N\)-high subgroups of Abelian groups
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• \(\omega\)-elongations and Crawley's problem. The solution to Crawley's problem
• Vector spaces with valuations
• Valuated groups
• Primary abelian groups and direct sums of cyclics
• On high subgroups
• The structure of c-decomposable p^w+n-projective abelian p-groups
• Generalized Wallace theorems
• On p^ω+1 -Projective p -Groups

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