| Title:
|
Quotients and homomorphisms of relational systems (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Länger, Helmut |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
37-47 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Relational systems containing one binary relation are investigated. Quotient relational systems are introduced and some of their properties are characterized. Moreover, homomorphisms, strong mappings and cone preserving mappings are introduced and the interplay between these notions is considered. Finally, the connection between directed relational systems and corresponding groupoids is investigated. (English) |
| Keyword:
|
Relational system |
| Keyword:
|
quotient relational system |
| Keyword:
|
cone |
| Keyword:
|
homomorphism |
| Keyword:
|
strong mapping |
| Keyword:
|
cone preserving mapping |
| Keyword:
|
groupoid |
| Keyword:
|
$g$-homomorphism |
| Keyword:
|
quotient groupoid |
| MSC:
|
08A02 |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 1241.08001 |
| idMR:
|
MR2796945 |
| . |
| Date available:
|
2011-02-18T07:35:08Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141415 |
| . |
| Reference:
|
[1] Chajda, I.: Congruences in transitive relational systems. Miskolc Math. Notes 5 (2004), 19–23. Zbl 1047.08001, MR 2040973 |
| Reference:
|
[2] Chajda, I.: Class preserving mappings of equivalence systems. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 43 (2004), 61–64. Zbl 1077.08001, MR 2124603 |
| Reference:
|
[3] Chajda, I.: Homomorphisms of directed posets. Asian-European J. Math. 1 (2008), 45–51. Zbl 1159.06002, MR 2400299, 10.1142/S1793557108000059 |
| Reference:
|
[4] Chajda, I., Hošková, Š.: A characterization of cone preserving mappings of quasiordered sets. Miskolc Math. Notes 6 (2005), 147–152. Zbl 1095.08001, MR 2199159 |
| Reference:
|
[5] Mal’cev, A. I.: Algebraic Systems. Springer, New York, 1973. MR 0349384 |
| Reference:
|
[6] Riguet, J.: Relations binaires, fermetures, correspondances de Galois. Bull. Soc. Math. France 76 (1948), 114–155. Zbl 0033.00603, MR 0028814 |
| . |
