Definition:Commutative and Unitary Ring

Definition
A commutative and unitary ring (or commutative and unital ring) $$\left({R, +, \circ}\right)$$ is a ring with unity which is also commutative.

That is, it is a ring such that the ring product $$\left({R, \circ}\right)$$ is commutative and has a identity element.

This is usually denoted by $$1$$ and called a unity.