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Relatively complemented ordered sets. (English) Zbl 0983.06002
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 \(b\).

MSC:
06A06 Partial orders, general
06C15 Complemented lattices, orthocomplemented lattices and posets
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