Definition:Semigroup Monomorphism

Definition
Let $\struct {S, \circ}$ and $\struct {T, *}$ be semigroups.

Let $\phi: S \to T$ be a (semigroup) homomorphism.

Then $\phi$ is a semigroup monomorphism $\phi$ is an injection.

Also see

 * Definition:Monomorphism (Abstract Algebra)