A Commutative Operation is a function $f$ of two variables such that $f(a,b)=f(b,a).$

Operations are usually represented by writing a symbol between the two arguments. Examples include:

• Multiplication: ${a}\times{b}$
• Addition: ${a}+{b}$
Subtraction and division are not commutative operations. They are "non-commutative."

A group in which the group operation is commutative is called an "Abelian Group."

DifferenceOfTwoSquares
MatrixMultiplication
MatrixTransformation
Quaternion
(none) (none)
Commutative (none)

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CommutativeOperation
Function
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DomainOfAFunction
ImageOfAFunction
Polynomial
RangeOfAFunction
RealNumber