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This article is cited in 14 scientific papers (total in 14 papers)
Periodic Abelian Groups with $UA$-Rings of Endomorphisms
O. V. Ljubimtsev Nizhny Novgorod State Pedagogical University
Abstract:
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.
Received: 14.03.2000 Revised: 28.11.2000
Citation:
O. V. Ljubimtsev, “Periodic Abelian Groups with $UA$-Rings of Endomorphisms”, Mat. Zametki, 70:5 (2001), 736–741; Math. Notes, 70:5 (2001), 667–672
Linking options:
https://www.mathnet.ru/eng/mzm784https://doi.org/10.4213/mzm784 https://www.mathnet.ru/eng/mzm/v70/i5/p736
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Abstract page: | 478 | Full-text PDF : | 236 | References: | 68 | First page: | 1 |
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