commutative
adjective
- adjective (mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation. “Addition on the real numbers is commutative because for any real numbers s,t, it is true that s#43;t#61;t#43;s.”
- adjective (algebra, of an algebraic structure) Having a commutative operation.
- adjective (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.
- adjective Relating to exchange; interchangeable.
Synonyms
Antonyms
Etymology
From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.
Webster’s 1913
- adjective Relative to exchange; interchangeable; reciprocal.
Etymology [CF. F. commutatif.]
Sources: Wiktionary · Webster’s 1913 — from the Wiktionary entry “commutative”, CC BY-SA 4.0. Details