Primary abelian groups admitting only small homomorphisms

DOI10.1080/00927879508825421zbMath0835.20072OpenAlexW2084737623MaRDI QIDQ4849551

Patrick W. Keef

Publication date: 10 April 1996

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825421

zbMATH Keywords

Abelian \(p\)-groupssoclethin groupsdirect sum of cyclicsthick groups\(p^ \omega\)- projective groups\(p^ \omega\)-injective groupscothin groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (3)

On separable \(\widetilde p^\alpha\)-bounded primary Abelian groups. ⋮ A version of purity on local abelian groups ⋮ Small pairs of abelian \(p\)-groups

Cites Work

• Unnamed Item
• Vector spaces with valuations
• Classes of primary abelian groups determined by valuated subgroups
• Slender groups and related concepts
• On a class of abelian p-groups

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