Show that the kernel of a field homomorphism is either the trivial homomorphism or isomorphic to the field.(adsbygoogle = window.adsbygoogle || []).push({});

I've tried to see it as a factor group, but I'm stuck. Can someone help?

mary

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Kernel of a field homomorphism

**Physics Forums | Science Articles, Homework Help, Discussion**