P. Schultz

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20182020

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math.GR2018

Decompositions of torsion-free abelian groups

Gabor Braun. Phill Schultz, Lutz Struengmann

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 ran…

math.GR2018

Indecomposable Decompositions of Torsion-free Abelian Groups

Adolf Mader, Phill Schultz

An indecomposable decomposition of a torsion-free abelian group $G$ of rank $n$ is a decomposition $G = A_{1} \oplus \dots \oplus A_{t}$ where $A_{i}$ is indecomposable of rank $r_{i}$ so that…