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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Originally Posted by tttcomrader 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?
Last edited by NonCommAlg; Nov 10th 2008 at 03:05 AM.
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