| 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:
|
http://hdl.handle.net/10338.dmlcz/126291 |
| . |
| 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 |
| . |
