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MATHEMATICA BOHEMICA, Vol. 123, No. 1, pp. 95-100 (1998)
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Congruences in ordered sets

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Ivan Chajda, Vaclav Snasel

* Ivan Chajda*, Dept. of Algebra and Geometry, Palacky University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: ` ivan.chajda@upol.cz`; * Vaclav Snasel*, Department of Computer Science, Palacky University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: ` vaclav.snasel@upol.cz`

**Abstract:** 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.

**Keywords:** ordered set, morphism, lower and upper bounds

**Classification (MSC2000):** 06A06, 06B10

**Full text of the article:**

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