Classes of primary abelian groups determined by valuated subgroups

DOI10.1016/0022-4049(93)90064-ZzbMath0790.20071MaRDI QIDQ1802143

Patrick W. Keef

Publication date: 8 August 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

direct sumsvaluationUlm factorsabelian \(p\)-groupvaluated groups\(p^ n\)-socles\(p^{\omega+n}\)-injectives\(p^{\omega+n}\)-projectives\(t\)-productDST-closed class of groupsDST-closure

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (3)

Primary abelian groups admitting only small homomorphisms ⋮ Generalizations of primary Abelian \(C_\alpha\) groups. ⋮ On separable \(\widetilde p^\alpha\)-bounded primary Abelian groups.

Cites Work

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• Modules of extensions over Dedekind rings
• On products of primary abelian groups
• Valuated groups
• Extensions of \(p\)-bounded groups
• Note on extensions of Abelian groups by primary groups
• On direct sums and products of modules
• A Class of Primary Abelian Groups Characterized by Its Socles
• On p^ω+1 -Projective p -Groups
• ALMOST TOTALLY INJECTIVE p-GROUPS
• A classification of direct sums of closed groups
• The Isomorphic Refinement Theorem for Direct Sums of Closed Groups
• Countable Torsion Products of Abelian p-Groups

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