Definition from Wiktionary, the free dictionary
commutative (not comparable)
- (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 , it is true that .
- Addition and multiplication are commutative operations but subtraction and division are not.
- (algebra, of an algebraic structure) Having a commutative operation.
- (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.
mathematics: such that order of operands does not affect result
algebra: having a commutative operation
- The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.
Translations to be checked