Set theory: An example of a transitivity relation.



  • Making a transit or passage.
  • Affected by transference of signification.
  • Taking a direct object or objects.
  • Having the property that if an element x is related to y and y is related to z, then x is necessarily related to z.
  • Such that, for any two elements of the acted-upon set, some group element maps the first to the second.
  • Such that, for any two vertices there exists an automorphism which maps one to the other.


  • From Latin trānsitīvus, from trānsitus, from trāns + itus, from eō.

Modern English dictionary

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