For 10 points, name this mathematical property that states that the order an operation is performed on two numbers is irrelevant.
One operator named for this property is used in the general definition of Heisenberg Uncertainty Principle, which relies on the fact that this property does not apply to position and momentum operators. Hilbert names rings that have this property, while groups that exhibit this property are called Abelian. This property notably does not hold for multiplication of matrices, or division. For 10 points, name this mathematical property that states that the order an operation is performed on two numbers is irrelevant.
One operator named for this property is used in the general definition of Heisenberg Uncertainty Principle, which relies on the fact that this property does not apply to position and momentum operators.
{commutative} or {commutativity}