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 (MSC 1991): 06A06, 06B10
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