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Keywords:
Relational system; quotient relational system; cone; homomorphism; strong mapping; cone preserving mapping; groupoid; $g$-homomorphism; quotient groupoid
Relational system; quotient relational system; cone; homomorphism; strong mapping; cone preserving mapping; groupoid; $g$-homomorphism; quotient groupoid
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.
References:
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