Transitivity
In mathematics, the word transitive admits at least three distinct meanings:
- A group G acts transitively on a set S if for any x, y ∈ S, there is some g ∈ G such that gx = y. See group action. A somewhat related meaning is explained at ergodic theory.
- A binary relation is transitive if whenever A is related to B and B is related to C, then A is related to C, for all A, B, and C in the domain of the relation. See transitive relation.
- A transitive set is a set A such that whenever x ∈ A, and y ∈ x, then y ∈ A. The smallest transitive set containing a set A is called the transitive closure of A.
See also
This disambiguation page lists mathematics articles associated with the same title.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
If an internal link led you here, you may wish to change the link to point directly to the intended article.