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Title: Congruences in ordered sets (English)
Author: Chajda, Ivan
Author: Snášel, Václav
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 123
Issue: 1
Year: 1998
Pages: 95-100
Summary lang: English
Category: math
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. (English)
Keyword: congruence preserving upper and lower bounds
Keyword: morphism
Keyword: lattice congruence
Keyword: poset
Keyword: ordered set
Keyword: lower and upper bounds
MSC: 06A06
MSC: 06B10
idZBL: Zbl 0897.06004
idMR: MR1618652
DOI: 10.21136/MB.1998.126291
Date available: 2009-09-24T21:29:44Z
Last updated: 2020-07-29
Stable URL:
Reference: [Dor] G. Dorfer: Sublattice-extensions by means of convex sublattices.Contributions to General Algebra 9. Verlag Hölder-Pichler-Temski, Wien, 1995, pp. 127-132. MR 1484432
Reference: [GR] G. Grätzer: General Lattice Theory.Birkhäuser, Basel-Stuttgart, 1987.
Reference: [Kol] M. Kolibiar: Congruence relations and direct decomposition of ordered sets.Acta Sci. Math. (Szeged) 51 (1987), 129-135. MR 0911564


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