An operation * is commutative if, for all x and all y, x * y = y * x. The word "abelian" is sometimes used to describe this property. |
A binary operation * on a set S is commutative if, for all x and y in S, x * y = y * x. Examples of commutative binary operations include addition and multiplication of complex numbers, addition of vectors, and intersection and union of sets. A commutative group is usually called an "Abelian" group. |
Examples of commutative binary operations include addition and multiplication of complex numbers, addition of vectors, and intersection and union of sets.
A commutative group is usually called an "Abelian" group.