Completely decomposable direct summands of torsion-free abelian groups of finite rank

DOI10.1090/proc/13732zbMath1435.20060arXiv1701.02460OpenAlexW2572676128MaRDI QIDQ4590967

Adolf Mader, Phillip Schultz

Publication date: 21 November 2017

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

Full work available at URL: https://arxiv.org/abs/1701.02460

zbMATH Keywords

direct decompositiontorsion-free abelian group of finite rankcompletely decomposable direct summand

Mathematics Subject Classification ID

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

Related Items (6)

Indecomposable decompositions of torsion-free abelian groups ⋮ Decompositions of torsion-free abelian groups ⋮ The main decomposition of finite-dimensional protori ⋮ A mixed version for a Fuchs' lemma ⋮ Structure of finite-dimensional protori ⋮ Self-pure-generators over Dedekind domains

Cites Work

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• Finite rank torsion free Abelian groups and rings
• Nearly isomorphic torsion free abelian groups
• Summands of finite rank torsion free abelian groups
• Almost Completely Decomposable Torsion Free Abelian Groups

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