I have got no clue of how to start with the problem .Now I know that an ideal is a kernel of a ring homorphism but why would it be a principal ideal in $F[x]$.What is the intuition behind this ?(I would like to know why is it happening instead of a formal proof)
2026-04-04 05:43:11.1775281391
If $F$ is a field then every ideal in $F[x]$ is a principal ideal.
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