I am looking for an example of prime ideal $P$ in an integral domain such that the ideal $\bigcap_{n=1}^{\infty}P^n$ is not a prime ideal.
This is a followup to this question where the ring was not assumed to be an integral domain.
2026-03-26 11:18:01.1774523881
An example of prime ideal $P$ in an integral domain such that $\bigcap_{n=1}^{\infty}P^n$ is not prime
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