Definition of "commutative"

(mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.  examples

(algebra, of an algebraic structure) Having a commutative operation.  examples

(mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.  examples

Relating to exchange; interchangeable.  examples