Commutative

In particular, the endomorphism ring of M is a commutative local ring.

An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.

Multiplication is commutative, division is not.

In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.

From the commutative law, it follows that -(-x) = x and 1/(1/x) = x.

From the commutative law and the uniqueness of additive inverses, it follows that -(-x) = x.

Addition on the real numbers is commutative because for any real numbers s,t, it is true that s#43;t#61;t#43;s.

Addition and multiplication are commutative operations but subtraction and division are not.

The associativity of OR and AND is not at all obvious. It is tempting to assume that because OR and AND are commutative that they must be associative also. This is not the case, however, and some commutative Boolean operators are not associative. Examples include NAND and NOR.