Abstract
We identify some classes \(\mathcal {C}\) of mixed groups such that if \(G\in \mathcal {C}\) has the cancellation property then the Walk-endomorphism ring of G has the unit lifting property. In particular, if G is a self-small group of torsion-free rank at most 4 with the cancellation property then it has a decomposition \(G=F\oplus H\) such that F is free and the Walk-endomorphism ring of H has the unit lifting property.
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This work is supported by a grant of the Ministry of Research, Innovation and Digitization, CNCS/CCCDI – UEFISCDI, project number PN-III-P4-ID-PCE-2020-0454, within PNCDI III.
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Breaz, S. On a Theorem of Stelzer for Some Classes of Mixed Groups. Mediterr. J. Math. 19, 159 (2022). https://doi.org/10.1007/s00009-022-02102-6
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DOI: https://doi.org/10.1007/s00009-022-02102-6