Definition:Totally Ordered Commutative Semigroup

Definition
A totally ordered commutative semigroup is a totally ordered structure $\left({S, \circ, \preceq}\right)$ such that $\left({S, \circ}\right)$ is a commutative semigroup.

Also see

 * Definition:Totally Ordered Structure
 * Definition:Totally Ordered Semigroup