Category:Monoid Epimorphisms

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