Category:Semigroup Epimorphisms

This category contains results about Semigroup Epimorphisms.
Definitions specific to this category can be found in Definitions/Semigroup Epimorphisms.

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

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

Then $\phi$ is a semigroup epimorphism if and only if $\phi$ is a surjection.