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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:
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


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