Definition:Circular Relation
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Definition
Let $\RR \subseteq S \times S$ be a relation in $S$.
$\RR$ is circular if and only if:
- $\tuple {x, y} \in \RR \land \tuple {y, z} \in \RR \implies \tuple {z, x} \in \RR$
Also see
- Results about circular relations can be found here.
Sources
- 1967: Saunders Mac Lane and Garrett Birkhoff: Algebra: $\S 1.3$