- of commutation; involving exchange or replacement
- Math. of or pertaining to an operation in which the order of the elements does not affect the result, as, in addition, 3 + 2 = 2 + 3 and, in multiplication, 2 × 3 = 3 × 2
commutative
com·mu·ta·tive
MLA Style
"commutative." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/commutative>.
APA Style
commutative. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/commutative
commutative
adjective
- Relating to, involving, or characterized by substitution, interchange, or exchange.
- Independent of order. Used of a logical or mathematical operation that combines objects or sets of objects two at a time. If a × b = b × a , the operation indicated by × is commutative.
Related Forms:
- com·mu′ta·tiv′i·ty
noun
MLA Style
"commutative." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/commutative>.
APA Style
commutative. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/commutative
See also associative
MLA Style
"commutative." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/commutative>.
APA Style
commutative. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/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 .
- (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.
MLA Style
"commutative." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/commutative>.
APA Style
commutative. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/commutative