Category:Ring Epimorphisms

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

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 if and only if $\phi$ is a surjection.