| Title:
|
Congruences in ordered sets and LU compatible equivalences (English) |
| Author:
|
Snášel, Václav |
| Author:
|
Jukl, Marek |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
153-156 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A concept of equivalence 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:
|
Ordered set |
| Keyword:
|
morphism |
| Keyword:
|
$LU$ compatible equivalence |
| MSC:
|
06A06 |
| MSC:
|
06B10 |
| idZBL:
|
Zbl 1203.06001 |
| idMR:
|
MR2641955 |
| . |
| Date available:
|
2010-02-11T13:59:50Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137509 |
| . |
| Reference:
|
[1] Chajda, I., Snášel, V.: Congruences in ordered sets.Math. Bohem. 123, 1 (1998), 95–100. MR 1618652 |
| Reference:
|
[2] Kolibiar, M.: Congruence relations and direct decomposition of ordered sets.Acta Sci. Math. (Szeged) 51 (1987), 129–135. MR 0911564 |
| Reference:
|
[3] Kolibiar, M.: Congruence relations and direct decomposition of ordered sets II.Contributions to General Algebra 6 (1988), 167–171. MR 1078035 |
| Reference:
|
[4] Haviar, A., Lihová, J.: Varieties of posets.Order 22, 4 (2005), 343–356. Zbl 1109.06002, MR 2220344 |
| Reference:
|
[5] Halaš, R.: Congruences on posets.Contributions to General Algebra 12 (2000), 195–210. MR 1777659 |
| Reference:
|
[6] Halaš, R., Hort, D.: A characterization of 1,2,3,4-endomorphisms of posets.Czech. Math. J. 53, 128 (2003), 213–221. MR 1962010 |
| . |
