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Commutative

Alternate names

commutative property | commutativity | law of commutativity

Basic definition

An operation * is said to be commutative if x*y = y*x for all x and y.

Detailed definition

Two elements x and y of a set S are said to be commutative under a binary operation * if they satisfy
x*y = y*x.
Real numbers are commutative under addition
x + y = y + x
and multiplication
x·y = y·x.
The Wolfram Language attribute that sets a function to be commutative is Orderless.

Related terms

associative | commutative algebra | commutative diagram | commutative monoid | commutative ring | commute | commuting matrices | distributive | transitive

Related Wolfram Language symbol

Orderless

Educational grade level

elementary school level (California grade 2 standard)

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