Abstract
It is proved that for two different classes of torsion-free abelian groups the direct decomposability properties coincide with respect to the quotients of indecomposable summands over their regulators. The method used is embedding almost rigid groups as fully invariant subgroups in some Butler groups of infinite rank with determination of their decomposition theory.
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The author is grateful to the German Academic Exchange Service (DAAD) for their support of this research in 2018.
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(Submitted by M. M. Arslanov)
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Blagoveshchenskaya, E. Direct Decompositions of Torsion-Free Abelian Groups. Lobachevskii J Math 41, 1640–1646 (2020). https://doi.org/10.1134/S1995080220090073
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DOI: https://doi.org/10.1134/S1995080220090073