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Nonreduced Abelian groups with UA-rings of endomorphisms

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Abstract

A ring K is a unique addition ring (a UA-ring) if its multiplicative semigroup (K, · ) can be equipped with a unique binary operation + transforming this semigroup to a ring (K, ·, +). An Abelian group is called an End-UA-group if its endomorphism ring is a UA-ring. In the paper, we find End-UA-groups in the class of nonreduced Abelian groups.

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Authors and Affiliations

  1. Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, 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 Matematicheskie Zametki, 2017, Vol. 101, No. 3, pp. 425–429.

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Lyubimtsev, O.V. Nonreduced Abelian groups with UA-rings of endomorphisms. Math Notes 101, 484–487 (2017). https://doi.org/10.1134/S0001434617030105

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  • DOI: https://doi.org/10.1134/S0001434617030105

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