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- Not to be confused with Definition:Galois Field.
Let $E / F$ be a field extension.
$E / F$ is a finite field extension if and only if its degree $\index E F$ is finite.
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $8$: Field Extensions: $\S 36$. The Degree of a Field Extension