I have no work to show. This fact is presented in my book as an obvious corollary of the following theorem:
Theorem:
If I=$(p)$ is an non null ideal in A P.I.D, $I$ is prime iff it is maximal.
Thanks in advance, every help or hint is appreciated.
2026-04-01 22:47:46.1775083666
Let $I$ be a non null ideal in $A$ P.I.D, if $A/I$ is an integer domain it is also a field?
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