Definition:Ring Monomorphism

Definition
Let $\left({R, +, \circ}\right)$ and $\left({S, \oplus, *}\right)$ be rings.

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

Then $\phi$ is a ring monomorphism $\phi$ is an injection.

Also known as
A monomorphism may also be referred to as an embedding.

Also see

 * Definition:Monomorphism (Abstract Algebra)