Definition:Field Monomorphism
Jump to navigation
Jump to search
Definition
Let $\struct {F, +, \circ}$ and $\struct {K, \oplus, *}$ be fields.
Let $\phi: F \to K$ be a (field) homomorphism.
Then $\phi$ is a field monomorphism if and only if $\phi$ is an injection.
Also see
- Results about field monomorphisms can be found here.
Linguistic Note
The word monomorphism comes from the Greek morphe (μορφή) meaning form or structure, with the prefix mono- meaning single.
Thus monomorphism means single (similar) structure.