Quotients and homomorphisms of relational systems. (English) Zbl 1241.08001

Relational systems with one binary operation in the sense of J. Riguet [Bull. Soc. Math. Fr. 76, 114–154 (1948; Zbl 0033.00603)] are investigated in the paper. First, an algebraic approach of A. I. Mal’tsev [Algebraic systems. Berlin-Heidelberg-New York: Springer-Verlag; Berlin: Akademie-Verlag (1973; Zbl 0266.08001)] is applied to quotient relational systems, homomorphisms, strong mappings and cone-preserving mappings. Then the connection between directed relational systems and some groupoids is studied.


08A02 Relational systems, laws of composition
20N02 Sets with a single binary operation (groupoids)
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