Subgroups of finite direct sums of valuated cyclic groups

DOI10.1016/0021-8693(88)90207-4zbMath0666.20025OpenAlexW2075170368MaRDI QIDQ1117041

David M. Arnold, Fred Richman

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90207-4

zbMATH Keywords

direct sumscompletely decomposable groupsWarfield invariantsdiscrete valuation ringspure subgrouptorsion-free abelian groupcompletely decomposable torsion-free groupdirect sum of cyclic valuated R-modulesquasi-decomposabilitytorsion-free valuated group

Mathematics Subject Classification ID

Valuation rings (13F30) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (6)

Valuated butler groups of special type ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Abelian groups ⋮ Modules over discrete valuation domains. II ⋮ Valuated Butler groups of finite rank

Cites Work

• Modules Over a Complete Discrete Valuation Ring
• An Invariant for Modules over a Discrete Valuation Ring
• A Class of Torsion-Free Abelian Groups of Finite Rank
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