Dualities for locally completely decomposable Abelian groups

DOI10.1006/jabr.1996.6927zbMath0880.20039OpenAlexW2047624017MaRDI QIDQ1357804

William J. Wickless, C. I. Vinsonhaler

Publication date: 10 December 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6927

zbMATH Keywords

dualityButler groupscompletely decomposable groupstypesetspure subgroupstorsion-free Abelian groups of finite rankButler dualityWarfield duality

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items

Homogeneous groups, Duality for almost completely decomposable groups., Warfield dualities induced by self-small mixed groups

Cites Work

• Butler groups, valuated vector spaces, and duality
• Finite rank torsion free Abelian groups and rings
• Duality and invariants for Butler groups
• Homomorphic images of completely decomposable finite rank torsion-free groups
• Nearly isomorphic torsion free abelian groups
• Dualities for torsion-free abelian groups of finite rank
• Balanced Butler groups
• Homomorphisms and duality for torsion-free groups
• Note on extensions of Abelian groups by primary groups
• Torsion-free duality is Warfield
• Almost Completely Decomposable Torsion Free Abelian Groups
• A Class of Pure Subgroups of Completely Decomposable Abelian Groups
• Completely decomposable abelian groups any pure subgroup of which is completely decomposable
• A Class of Torsion-Free Abelian Groups of Finite Rank
• Torsion-Free Modules and Diagrams of Vector Spaces
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