Geodesic
Quotients and homomorphisms of relational systems
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 37-47 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 08A02, 20N02
Keywords: Relational system; quotient relational system; cone; homomorphism; strong mapping; cone preserving mapping; groupoid; $g$-homomorphism; quotient groupoid 
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     title = {Quotients and homomorphisms of relational systems},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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Chajda, Ivan; Länger, Helmut. Quotients and homomorphisms of relational systems. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 37-47. http://geodesic.mathdoc.fr/item/AUPO_2010_49_2_a2/