Let R be a commutative ring with identity.
Prove: every nilpotent is inside every prime ideal.
Don't know what to use with this problem. Any help is usefull :)
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4Hint: every prime ideal contains $0$ – Mark Bennet Aug 27 '13 at 12:41
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1How about using the definitions? This is a pretty direct result of the definitions. – Thomas Andrews Aug 27 '13 at 12:41
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possible duplicate of Prime ideal and nilpotent question and Nilpotent ring, prime ideal question – rschwieb Aug 27 '13 at 12:52