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Mixed basic subgroups. - MaRDI portal

Mixed basic subgroups. (Q852467)

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scientific article; zbMATH DE number 5076743
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Mixed basic subgroups.
scientific article; zbMATH DE number 5076743

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    Mixed basic subgroups. (English)
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    29 November 2006
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    The author defines basic subgroup of a mixed Abelian group that generalizes the definition of basic subgroup of a torsion group. He demonstrates that such basic subgroups have properties useful for structure theorems. The author shows however that one of the fundamental properties of basic subgroups of a torsion group fails in the mixed case, namely not all basic subgroups are isomorphic.
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    mixed basic subgroups
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    purifiable subgroups
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    high subgroups
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    splitting groups
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    mixed Abelian groups
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