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Vladikavkazskii Matematicheskii Zhurnal, 2009, Volume 11, Number 3, Pages 8–9
(Mi vmj33)
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This article is cited in 2 scientific papers (total in 2 papers)
Weakly $\aleph_1$-separable quasi-complete abelian $p$-groups are bounded
P. V. Danchev Plovdiv State University "Paissii Hilendarski", Plovdiv, Bulgaria
Abstract:
We prove that each weakly $\aleph_1$-separable quasi-complete abelian $p$-group is bounded, thus extending recent results of ours in (Vladikavkaz Math. J., 2007 and 2008).
Key words:
weakly $\aleph_1$-separable groups, quasi-complete groups, torsion-complete groups, basic subgroups, bounded groups.
Received: 26.05.2008
Citation:
P. V. Danchev, “Weakly $\aleph_1$-separable quasi-complete abelian $p$-groups are bounded”, Vladikavkaz. Mat. Zh., 11:3 (2009), 8–9
Linking options:
https://www.mathnet.ru/eng/vmj33 https://www.mathnet.ru/eng/vmj/v11/i3/p8
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Abstract page: | 623 | Full-text PDF : | 89 | References: | 44 | First page: | 1 |
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