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Characterization of completely decomposable quotient divisible abelian groups by their endomorphism semigroups

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Abstract

We study abelian groups in the class of completely decomposable quotient divisible abelian groups which are determined in this class by their endomorphism semigroups.

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Authors and Affiliations

  1. Nizhny Novgorod State Architecture and Civil Engineering University, ul. Il’inskaya 65, Nizhny Novgorod, 603109, Russia

    O. V. Lyubimtsev

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  1. O. V. Lyubimtsev
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Correspondence to O. V. Lyubimtsev.

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Original Russian Text © O.V. Lyubimtsev, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 10, pp. 75–82.

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Lyubimtsev, O.V. Characterization of completely decomposable quotient divisible abelian groups by their endomorphism semigroups. Russ Math. 61, 65–71 (2017). https://doi.org/10.3103/S1066369X17100097

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