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Congruences in ordered sets. (English) Zbl 0897.06004

Summary: A concept of congruence preserving upper and lower bounds in a poset \(P\) is introduced. If \(P\) is a lattice, this concept coincides with the notion of lattice congruence.

MSC:

06A06 Partial orders, general
06B10 Lattice ideals, congruence relations
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