Commutative vs Commutable - What's the difference?
commutative | commutable |
(mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
(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.
As adjectives the difference between commutative and commutable
is that commutative is such that the order in which the operands are taken does not affect their under the operation while commutable is capable of being commuted.commutative
English
(commutative property)Adjective
(-)- ''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.
