Category:Definitions/Semigroup Epimorphisms

This category contains definitions related to Semigroup Epimorphisms.
Related results can be found in Category: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.