Suppose that R is a commutative ring, and let I be an ideal of R. Let , prove that is the nilradical of .

So I need to prove that elements in , say , and we know that , that we would have . But what is the zero in ? Isn't it just 0?

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- Nov 9th 2008, 03:27 PMtttcomraderNilradical problem
Suppose that R is a commutative ring, and let I be an ideal of R. Let , prove that is the nilradical of .

So I need to prove that elements in , say , and we know that , that we would have . But what is the zero in ? Isn't it just 0? - Nov 9th 2008, 04:58 PMNonCommAlg