FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 4, PAGES 1419-1422

O. V. Lyubimcev

Abstract

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```
A semigroup
```$(R,\cdot)$ is said to be a unique addition ring
(UA-ring) if there exists a unique binary operation $+$ , making
$(R,\cdot,+)$ into a ring. We call an abelian group $\mathop{End}$ -UA-group
if its endomorphism ring is UA-ring. As a result we have
obtained a characterization
of separable tortion free $\mathop{End}$ -UA-groups.

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