Quotients and homomorphisms of relational systems
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)
- Volume: 49, Issue: 2, page 37-47
- ISSN: 0231-9721
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topChajda, Ivan, and Länger, Helmut. "Quotients and homomorphisms of relational systems." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.2 (2010): 37-47. <http://eudml.org/doc/116512>.
@article{Chajda2010,
abstract = {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.},
author = {Chajda, Ivan, Länger, Helmut},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Relational system; quotient relational system; cone; homomorphism; strong mapping; cone preserving mapping; groupoid; $g$-homomorphism; quotient groupoid; binary relation; relational system; homomorphism; strong mapping; cone-preserving mapping; groupoid},
language = {eng},
number = {2},
pages = {37-47},
publisher = {Palacký University Olomouc},
title = {Quotients and homomorphisms of relational systems},
url = {http://eudml.org/doc/116512},
volume = {49},
year = {2010},
}
TY - JOUR
AU - Chajda, Ivan
AU - Länger, Helmut
TI - Quotients and homomorphisms of relational systems
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 2
SP - 37
EP - 47
AB - 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.
LA - eng
KW - Relational system; quotient relational system; cone; homomorphism; strong mapping; cone preserving mapping; groupoid; $g$-homomorphism; quotient groupoid; binary relation; relational system; homomorphism; strong mapping; cone-preserving mapping; groupoid
UR - http://eudml.org/doc/116512
ER -
References
top- Chajda, I., Congruences in transitive relational systems, Miskolc Math. Notes 5 (2004), 19–23. (2004) Zbl1047.08001MR2040973
- Chajda, I., Class preserving mappings of equivalence systems, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 43 (2004), 61–64. (2004) Zbl1077.08001MR2124603
- Chajda, I., 10.1142/S1793557108000059, Asian-European J. Math. 1 (2008), 45–51. (2008) Zbl1159.06002MR2400299DOI10.1142/S1793557108000059
- Chajda, I., Hošková, Š., A characterization of cone preserving mappings of quasiordered sets, Miskolc Math. Notes 6 (2005), 147–152. (2005) Zbl1095.08001MR2199159
- Mal’cev, A. I., Algebraic Systems, Springer, New York, 1973. (1973) MR0349384
- Riguet, J., Relations binaires, fermetures, correspondances de Galois, Bull. Soc. Math. France 76 (1948), 114–155. (1948) Zbl0033.00603MR0028814
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