# Finite dimensional extension field

Prove that a finite-dimensional extension field K of F is normal if and only if it has this property: Whenever L is an extension field of K and sigma : K ----> L an injective homomorphism such that sigma (c) = c for every c in F, then sigma (K) is contained in K.

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This solution offers evidence to prove that a finite-dimensional extension field of is normal under certain properties.

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