Transitive relation

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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.

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