Definition:Field Automorphism
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Definition
Let $\struct {F, +, \circ}$ be a field.
Let $\phi: F \to F$ be a (field) isomorphism from $F$ to itself.
Then $\phi$ is a field automorphism.
Linguistic Note
The word automorphism derives from the Greek morphe (μορφή) meaning form or structure, with the prefix iso- meaning equal.
Thus automorphism means self structure.