# Definition:Commutative Semigroup

## Definition

Let $\left({S, \circ}\right)$ be a semigroup such that the operation $\circ$ is a commutative operation.

Then $\left({S, \circ}\right)$ is a commutative semigroup.

## Also known as

Some authors refer to a commutative semigroup as an abelian semigroup.

However, the term abelian is usually reserved for commutative groups.

## Also see

• Results about commutative semigroups can be found here.