Geodesic
Congruences in ordered sets
Mathematica Bohemica, Tome 123 (1998) no. 1, pp. 95-100
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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.
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.
DOI : 10.21136/MB.1998.126291
Classification : 06A06, 06B10
Keywords: congruence preserving upper and lower bounds; morphism; lattice congruence; poset; ordered set; lower and upper bounds 
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Chajda, Ivan; Snášel, Václav. Congruences in ordered sets. Mathematica Bohemica, Tome 123 (1998) no. 1, pp. 95-100. doi: 10.21136/MB.1998.126291

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[Kol] M. Kolibiar: Congruence relations and direct decomposition of ordered sets. Acta Sci. Math. (Szeged) 51 (1987), 129-135. | MR

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