Category:Definitions/Monoid Epimorphisms

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

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

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

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