Decompositions of torsion-free abelian groups

Gábor Braun; Phill Schultz; Lutz Strüngmann

doi:10.1016/j.jalgebra.2019.02.035

Decompositions of torsion-free abelian groups

Gábor Braun, Phill Schultz, Lutz Strüngmann

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	72-84
Number of pages	13
Journal	Journal of Algebra
Volume	528
DOIs	https://doi.org/10.1016/j.jalgebra.2019.02.035
Publication status	Published - 15 Jun 2019

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Decompositions of torsion-free abelian groups

Abstract

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