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Fundamentalnaya i Prikladnaya Matematika, 1998, Volume 4, Issue 4, Pages 1419–1422
(Mi fpm359)
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This article is cited in 19 scientific papers (total in 19 papers)
Short communications
Separable torsion free Abelian groups with $UA$-rings of endomorphisms
O. V. Ljubimtsev Nizhny Novgorod State Pedagogical University
Abstract:
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 $\operatorname{End}$-$UA$-group if its endomorphism ring is $UA$-ring. As a result we have obtained a characterization of separable tortion free $\operatorname{End}$-$UA$-groups.
Received: 01.10.1996
Citation:
O. V. Ljubimtsev, “Separable torsion free Abelian groups with $UA$-rings of endomorphisms”, Fundam. Prikl. Mat., 4:4 (1998), 1419–1422
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https://www.mathnet.ru/eng/fpm359 https://www.mathnet.ru/eng/fpm/v4/i4/p1419
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Abstract page: | 281 | Full-text PDF : | 118 | First page: | 2 |
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