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 $f(1) = 1$
How to prove that there are at least two different unital homomorphisms for field $K\rightarrow K$
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group-theory
field-theory
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0What examples of fields do you know? You probably know one that has 2 such homomorphisms. – 2012-11-16
1 Answers
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$K=\Bbb C$, take identity and complex conjugation.