On the classification of abelian groups.

DOI10.1007/s10998-014-0039-yzbMath1349.20042OpenAlexW2079906140MaRDI QIDQ276434

Paul Hill

Publication date: 3 May 2016

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0039-y

zbMATH Keywords

countable Abelian \(p\)-groupsdirect sums of countable groupssimply presented \(p\)-groupsthird axiom of countabilitytotally projective \(p\)-groupsUlm invariantsUlm theorem

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (3)

Almost-affable Abelian groups ⋮ Countably generated modules over complete discrete valuation rings ⋮ On mixed groups of torsion-free rank one with totally projective primary components

Cites Work

• Unnamed Item
• Projective modules
• Zur Theorie der abzählbar-unendlichen Abelschen Gruppen
• Homology and direct sums of countable abelian groups
• Extending automorphisms and lifting decompositions in abelian groups
• Shorter Notes: Sums of Countable Primary Groups
• Direct sums of countable groups

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