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Isomorphisms of Endomorphism Semigroups of Mixed Abelian Groups

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Abstract

We study abelian groups whose endomorphism rings are rings with unique addition. This means that there exists a unique binary operation of addition on the endomorphism semigroup which turns it into a ring. We also solve some close problems.

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Authors and Affiliations

  1. National Research University Higher School of Economics, ul. Myasnitskaya 20, Moscow, 101000, Russia

    D. S. Chistyakov

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  1. D. S. Chistyakov
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Correspondence to D. S. Chistyakov.

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Original Russian Text © D.S. Chistyakov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 7, pp. 54–60.

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Chistyakov, D.S. Isomorphisms of Endomorphism Semigroups of Mixed Abelian Groups. Russ Math. 62, 47–52 (2018). https://doi.org/10.3103/S1066369X18070046

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  • DOI: https://doi.org/10.3103/S1066369X18070046

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