Under the operation that AB is the intersection of the sets A and B. If I is a prime ideal how does one prove that if A is in I then I contains A or all the elements not contained in A.

Thanks!

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- Dec 4th 2008, 11:01 AMmorganforPrime Ideals
Under the operation that AB is the intersection of the sets A and B. If I is a prime ideal how does one prove that if A is in I then I contains A or all the elements not contained in A.

Thanks!