Here, P is a prime ideal of the polynomial ring Z[x]. Now, how do I show that P intersection Z is a prime ideal of Z? If P intersection Z is 0, then it is obvious. If not, then it contains at least one extra element. Suppose P intersection Z = {0,a}, then it is not even an ideal, right? So, I'm not able to understand, how to prove this lemma!
2026-04-06 12:22:03.1775478123
How is P intersection Z a prime ideal of Z?
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