transitive

adjective

1. 1

   Making a transit or passage.

2. 2

   Affected by transference of signification.

3. 3

   (grammar, of a verb) Taking a direct object or objects.

   “The English verb "to notice" is a transitive verb, because we say things like "She noticed a problem".”

4. 4

   (of a relation on a set) 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.

   “"Is an ancestor of" is a transitive relation: if Alice is an ancestor of Bob, and Bob is an ancestor of Carol, then Alice is an ancestor of Carol.”

5. 5

   (of a group action) Such that, for any two elements of the acted-upon set, some group element maps the first to the second.

6. 6

   (of a graph) Such that, for any two vertices there exists an automorphism which maps one to the other.