Relatively complemented ordered sets (Q2717945)

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scientific article; zbMATH DE number 1606095
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Relatively complemented ordered sets
scientific article; zbMATH DE number 1606095

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    Relatively complemented ordered sets (English)
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    24 March 2002
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    modular ordered set
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    relatively complemented ordered set
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    atom
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    The authors investigate conditions for the existence of relative complements in ordered sets. For relatively complemented ordered sets with \(0\) they show that each element \(b\neq 0\) is the least one of the set of all upper bounds of all atoms contained in \(b\).
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