Geodesic
Periodic Abelian Groups with $UA$-Rings of Endomorphisms
Matematičeskie zametki, Tome 70 (2001) no. 5, pp. 736-741.

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A ring $R$ is said to be a unique addition ring (a $UA$-ring) if its multiplicative semigroup $(R,\cdot)$ can uniquely be endowed with a binary operation $+$ in such a way that $(R,\cdot,+)$ becomes a ring. An Abelian group is said to be an $\operatorname{End}$-$UA$-group if the endomorphism ring of the group is a $UA$-ring. In the paper we study conditions under which an Abelian group is an $\operatorname{End}$-$UA$-group. 
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O. V. Ljubimtsev. Periodic Abelian Groups with $UA$-Rings of Endomorphisms. Matematičeskie zametki, Tome 70 (2001) no. 5, pp. 736-741. http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a7/

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