Definition:Transitive Closure (Relation Theory)/Intersection of Transitive Supersets
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Definition
Let $\RR$ be a relation on a set $S$.
The transitive closure of $\RR$ is defined as the intersection of all transitive relations on $S$ which contain $\RR$.
The transitive closure of $\RR$ is denoted $\RR^+$.
Also see
- Results about transitive closures can be found here.
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