Definition:Transitive Relation

Definition
Let $\mathcal R \subseteq S \times S$ be a relation in $S$.

Also see

 * Equivalence of Definitions of Transitive Relation


 * Definition:Transitivity (Relation Theory)


 * Definition:Antitransitive Relation
 * Definition:Non-transitive Relation


 * Definition:Reflexive Relation
 * Definition:Symmetric Relation