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For questions involving prime ideals in commutative or noncommutative rings.

2 votes
2 answers
1k views

When an intersection is contained in a minimal prime ideal

For a commutative ring $R$ with identity, it is well known that if a finite intersection of ideals is contained in a prime ideal $\frak{p}$, then one of them is contained in $\frak{p}$. I am looking f …