Category:Definitions/Ring Epimorphisms

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