Definition:Commutative Algebra (Abstract Algebra)

Definition
Let $\left({A_R, \oplus}\right)$ be an algebra over a ring.

Then $\left({A_R, \oplus}\right)$ is a commutative algebra iff $\oplus$ is commutative.

That is:


 * $\forall a, b \in A_R: a \oplus b = b \oplus a$