Letting R be a commutative ring, and letting I = {a in R | a^n =0 for some n in S} where S is the set of positive integers. Prove I is an ideal of R.
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Originally Posted by Coda202 Letting R be a commutative ring, and letting I = {a in R | a^n =0 for some n in S} where S is the set of positive integers. Prove I is an ideal of R. This is just saying that the nilradical is an ideal. note if then Also if then
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