Abstract
An Abelian group is called idempotent if any element is idempotent for some multiplication. This paper contains a complete description of torsion-free idempotent groups and periodic idempotent groups. We also give a description of mixed idempotent groups.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 22, No. 5, pp. 153–157, 2019.
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Tisovsky, A.G. Mixed Idempotent Abelian Groups. J Math Sci 259, 490–493 (2021). https://doi.org/10.1007/s10958-021-05640-8
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DOI: https://doi.org/10.1007/s10958-021-05640-8