Commutativity

In algebra, commutativity is a property of binary operations or of operators on a set. If $$\star$$ is a binary operation then the commutative property is the condition that


 * $$ x \star y = y \star x \,$$

for all x and y.

Examples of commutative operations are addition and multiplication of integers, rational numbers, real and complex numbers. In this context commutativity is often referred to as the commutative law.