Does it make sense to talk about the kernel of a field morphism? If so, what is it? I'm getting confused because we've defined a field to be a commutative group (F,+) and a map m: F -> F s.t. (F \{0}, m) form another commutative group. For shorthand we're calling the unit element for the + operation 0, and the unit element for m as 1.(adsbygoogle = window.adsbygoogle || []).push({});

So I'd want to define the kernel of a field morphism as the set of all elements in F1 that get mapped to 0 in F2, and the set of all element in F1 that get mapped to 1 in F2. Help!

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# Kernel of a Field Morphism?

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