# Transitive relation

From Encyclopedia of Mathematics

One of the most important properties of a binary relation. A relation on a set is called transitive if, for any , the conditions and imply . Equivalence relations and orderings are examples of transitive relations.

**How to Cite This Entry:**

Transitive relation.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Transitive_relation&oldid=11202

This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article