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On classification of the Butler and almost completely decomposable groups of finite rank (Q1376917)

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scientific article; zbMATH DE number 1107910
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English
On classification of the Butler and almost completely decomposable groups of finite rank
scientific article; zbMATH DE number 1107910

    Statements

    On classification of the Butler and almost completely decomposable groups of finite rank (English)
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    12 October 1998
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    The author applies his former description of the category of torsion-free abelian groups of finite rank localized with respect to \(\mathbb{Q}\) [ibid. 175, 135-153 (1989; Zbl 0713.20050)]\ -- by means of localization with respect to rings of integral and rational \(p\)-adic numbers -- to the category of Butler groups (i.e. pure subgroups of finite direct sums of subgroups of \(\mathbb{Q}\)).
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    quasi-isomorphisms
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    torsion-free Abelian groups of finite rank
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    categories of Butler groups
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    pure subgroups
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