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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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