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Lattices in quasiordered sets. (English) Zbl 0773.06002
Let $$Q$$ be a quasiorder on a set $$A$$. It is shown that the factor set $$A/Q\cap Q^{-1}$$ ordered by the induced order is a lattice if and only if $$A$$ can be equipped with two binary operations satisfying a set of identities, similar to those for lattices, and determining the quasiorder $$Q$$.
Reviewer: J.Niederle (Brno)

##### MSC:
 06A06 Partial orders, general
##### Keywords:
generalization of lattices; quasiorder
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##### References:
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