Geodesic
Algebraically compact Abelian groups with $\mathrm{UA}$-rings of endomorphisms
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 121-129.

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A ring $K$ is said to be a unique addition ring ($\mathrm{UA}$-ring) if on its multiplicative semigroup $(K, \cdot)$ it is possible to set only one binary operation of $+$ turning $(K, \cdot, +)$ into a ring. We call an Abelian group an $\mathrm{End}$-$\mathrm{UA}$-group if its endomorphism ring is a $\mathrm{UA}$-ring. In this paper, $\mathrm{End}$-$\mathrm{UA}$-groups are found in a class of algebraically compact Abelian groups. 
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O. V. Lyubimtsev. Algebraically compact Abelian groups with $\mathrm{UA}$-rings of endomorphisms. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 121-129. http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a11/

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