$K$-morphism

Let $K$ be a field, and let $L$ and $L'$ be two field extensions of $K$ . A $K$ -morphism $\varphi:L \rightarrow L'$ is a field homomorphism such that, for all $a\in K$ , $\varphi(a)=a$ .

Practice this concept with exercises

Determine all $\R$ -automorphisms $\varphi:\mathbb{C} \rightarrow \mathbb{C}$ .

Open exercise

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