Congruences in ordered sets
Mathematica Bohemica (1998)
- Volume: 123, Issue: 1, page 95-100
- ISSN: 0862-7959
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topChajda, Ivan, and Snášel, Václav. "Congruences in ordered sets." Mathematica Bohemica 123.1 (1998): 95-100. <http://eudml.org/doc/248300>.
@article{Chajda1998,
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.},
author = {Chajda, Ivan, Snášel, Václav},
journal = {Mathematica Bohemica},
keywords = {congruence preserving upper and lower bounds; morphism; lattice congruence; poset; ordered set; lower and upper bounds; congruence preserving upper and lower bounds; morphism; lattice congruence; poset},
language = {eng},
number = {1},
pages = {95-100},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Congruences in ordered sets},
url = {http://eudml.org/doc/248300},
volume = {123},
year = {1998},
}
TY - JOUR
AU - Chajda, Ivan
AU - Snášel, Václav
TI - Congruences in ordered sets
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 1
SP - 95
EP - 100
AB - 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.
LA - eng
KW - congruence preserving upper and lower bounds; morphism; lattice congruence; poset; ordered set; lower and upper bounds; congruence preserving upper and lower bounds; morphism; lattice congruence; poset
UR - http://eudml.org/doc/248300
ER -
References
top- G. Dorfer, Sublattice-extensions by means of convex sublattices, Contributions to General Algebra 9. Verlag Hölder-Pichler-Temski, Wien, 1995, pp. 127-132. (1995) MR1484432
- G. Grätzer, General Lattice Theory, Birkhäuser, Basel-Stuttgart, 1987. (1987)
- M. Kolibiar, Congruence relations and direct decomposition of ordered sets, Acta Sci. Math. (Szeged) 51 (1987), 129-135. (1987) MR0911564
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