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The Third Axiom of Countability for Abelian Groups

Three different definitions of the third axiom of countability for abelian $p$-groups are shown to be equivalent. The main interest in this stems from the fact that the third axiom of countability characterizes one of the most important classes of abelian groups. Moreover, the equivalence of two... Full description

1st Person: Hill, Paul
Source: in Proceedings of the American Mathematical Society Vol. 82, No. 3 (1981), p. 347-350
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Type of Publication: Article
Language: English
Published: 1981
Keywords: research-article
Online: Volltext
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