Abstract
We study classes of abelian groups with nilpotent commutators of their endomorphisms, as well as groups with a semirigid condition imposed on direct summands. We describe these groups among separable, vector, and algebraically compact torsion-free groups. We construct examples illustrating the distinction between considered classes of groups, as well as E-solvable and E-nilpotent groups.
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Original Russian Text © A.R. Chekhlov, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 10, pp. 60–73.
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Chekhlov, A.R. Abelian groups with nilpotent commutators of endomorphisms. Russ Math. 56, 50–61 (2012). https://doi.org/10.3103/S1066369X12100052
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DOI: https://doi.org/10.3103/S1066369X12100052