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How to prove that exists a field K such that there are two unital homomorphisms between fields $f:K\rightarrow K$? Homomorphism is unital if $f(1) = 1$

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    What examples of fields do you know? You probably know one that has 2 such homomorphisms.2012-11-16

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$K=\Bbb C$, take identity and complex conjugation.