Decompositions of torsion-free abelian groups

Gábor Braun, Phill Schultz, Lutz Strüngmann

Research output: Contribution to journalArticle

Abstract

It is known that every torsion-free abelian group of finite rank has a maximal completely decomposable summand that is unique up to isomorphism. We show that groups of infinite rank need not have maximal completely decomposable summands, but when they do, this summand is unique up to isomorphism.

Original languageEnglish
Pages (from-to)72-84
Number of pages13
JournalJournal of Algebra
Volume528
DOIs
Publication statusPublished - 15 Jun 2019

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Torsion-free Abelian Group
Decomposable
Isomorphism
Decompose
Finite Rank

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Braun, Gábor ; Schultz, Phill ; Strüngmann, Lutz. / Decompositions of torsion-free abelian groups. In: Journal of Algebra. 2019 ; Vol. 528. pp. 72-84.
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Decompositions of torsion-free abelian groups. / Braun, Gábor; Schultz, Phill; Strüngmann, Lutz.

In: Journal of Algebra, Vol. 528, 15.06.2019, p. 72-84.

Research output: Contribution to journalArticle

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