TOPICS
Search

Commutative


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.
(1)

Real numbers are commutative under addition

 x+y=y+x
(2)

and multiplication

 x·y=y·x.
(3)

The Wolfram Language attribute that sets a function to be commutative is Orderless.


See also

Associative, Commute, Commutative Algebra, Commutative Diagram, Commuting Matrices, Commutative Monoid, Commutative Ring, Distributive, Transitive Explore this topic in the MathWorld classroom

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Commutative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Commutative.html

Subject classifications