Definition:Field Endomorphism
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Definition
Let $\struct {F, +, \circ}$ be a field.
Let $\phi: F \to F$ be a (field) homomorphism from $F$ to itself.
Then $\phi$ is a field endomorphism.
Also see
- Results about field endomorphisms can be found here.
Linguistic Note
The word endomorphism derives from the Greek morphe (μορφή) meaning form or structure, with the prefix endo- (from ἔνδον') meaning inner or internal.
Thus endomorphism means internal structure.