# Commutativity

From Citizendium

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

for all *x* and *y*. If this equality holds for a particular pair of elements, they are said to *commute*.

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*.