Decompositions of torsion-free abelian groups
Group Theory
2018-10-24 v1
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.
Keywords
Cite
@article{arxiv.1810.09644,
title = {Decompositions of torsion-free abelian groups},
author = {Gabor Braun. Phill Schultz and Lutz Struengmann},
journal= {arXiv preprint arXiv:1810.09644},
year = {2018}
}
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12 pages