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