Where n is the set of all nilpotent elements a is nilpotent


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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Algebra: Where n is the set of all nilpotent elements a is nilpotent
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