[{"word":"commutative","phonetics":[],"meanings":[{"partOfSpeech":"adjective","definitions":[{"definition":"(of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.","synonyms":[],"antonyms":[],"example":"Addition and multiplication are commutative operations but subtraction and division are not."},{"definition":"(of an algebraic structure) Having a commutative operation.","synonyms":[],"antonyms":[]},{"definition":"(of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.","synonyms":[],"antonyms":[]},{"definition":"Relating to exchange; interchangeable.","synonyms":[],"antonyms":[]}],"synonyms":["Abelian","abelian"],"antonyms":["anticommutative"]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/commutative"]}]