Definition:Circular Relation

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: $\S 1.3$