Two elements 
and 
of a set 
are said to be commutative under a binary operation 
if they satisfy
 |
(1) |
Real numbers are commutative under addition
 |
(2) |
and multiplication
 |
(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
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Cite this as:
Weisstein, Eric W. "Commutative." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Commutative.html