Direct sums of local torsion-free abelian groups

DOI10.1090/S0002-9939-01-06246-3zbMath0998.20046MaRDI QIDQ2781328

David M. Arnold

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

indecomposable summandscancellation propertytorsion-free Abelian groups of finite rankdirect sum decompositionsKrull Schmidt propertylocal torsion-free groups

Mathematics Subject Classification ID

Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (4)

Torsion-free modules of finite rank over a discrete valuation ring. ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Modules over discrete valuation domains. II

Cites Work

• Unnamed Item
• Finite rank torsion free Abelian groups and rings
• Nearly isomorphic torsion free abelian groups
• Splitting fields for torsion-free modules over discrete valuation rings. I
• The Krull-Schmidt problem for modules over valuation domains
• Abelian groups and representations of finite partially ordered sets
• Exchange rings and decompositions of modules
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• A Duality for Torsion-Free Modules of Finite Rank Over a Discrete Valuation Ring
• Co-purely indecomposable modules over discrete valuation rings

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