Primary abelian groups and direct sums of cyclics

DOI10.1006/jabr.1993.1163zbMath0803.20035OpenAlexW2073678774MaRDI QIDQ1324182

John M. Irwin, Patrick W. Keef

Publication date: 4 January 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1163

zbMATH Keywords

homomorphismlarge subgrouppure subgroupdirect sum of cyclicsvaluated vector spacesummandcofree subsoclecofree-pure-complete group

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (7)

A Note on Irwin's Conjecture (E.F.I.p-Groups = Thickp-Groups) ⋮ Notes on Essentially Finitely Indecomposable Nonthick Primary Abelian Groups ⋮ On separable \(\widetilde p^\alpha\)-bounded primary Abelian groups. ⋮ Realization theorems for valuated \(p^n\)-socles. ⋮ An application of set theory to \(\omega+n\)-totally \(p^{\omega+n}\)-projective primary Abelian groups. ⋮ On Primary Abelian Groups Modulo Finite Subgroups ⋮ Classes of Subgroups of Simply Presented Primary Abelian Groups

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