Show that , where the intersection is over all prime ideals of that contain . I know how to verify the one inclution , but how can I show the second inclution. Thank you in advance
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Hint: The nilradical of is the intersection of all prime ideals of . Apply this result to .
Thaaaaank you very much, only now I get the point. where is prime ideal in contains . But we know that . Thus, if , then . It is easy to show that . Thank you again
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