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Ideals : Show that N is contained in P for each prime ideal, P of a commutative ring R.

Show that N is contained in P for each prime ideal, P of a commutative ring R.

Where N is the set of all nilpotent elements. "a" is nilpotent if a^n=0 for some positive integer n. N itself is an ideal.

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Proof:

N is the set of all nilpotent elements. P is a prime ideal in a commutative ring R. We want to ...

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It is shown that N is contained in P for each prime ideal, P of a commutative ring R. The response received a rating of "5/5" from the student who originally posted the question.

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