Definition:Semigroup/Multiplicative

Definition
Let $\struct {S, \circ}$ be a semigroup whose operation is multiplication.

Then $\struct {S, \circ}$ is a multiplicative semigroup.

It is implicit in this definition that the elements of $S$ are numbers, or objects derived from numbers upon which the concept of multiplication is applicable.

Also see

 * Definition:Additive Semigroup