Definition:Ring Epimorphism

Definition
Let $\struct {R, +, \circ}$ and $\struct {S, \oplus, *}$ be rings.

Let $\phi: R \to S$ be a (ring) homomorphism.

Then $\phi$ is a ring epimorphism $\phi$ is a surjection.

Also see

 * Definition:Epimorphism (Abstract Algebra)