This article is cited 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.

UDC: 512.742

MSC: 20K10

Received: 26.05.2008

Language: English

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