commutative
com·mu·ta·tive- 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
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
commutative
Adjective
(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.