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    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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    https://brainmass.com/math/ring-theory/ideals-prime-ideals-commutative-ring-55733

    Solution Preview

    Proof:

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

    Solution Summary

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

    $2.49

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