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Q:

Find the nilradical in an Artinian ring

Let $k[X]$ be the polynomial ring in one variable. Then $\mathcal{P}(k[X])=k[X] \to \mathcal{A}r(k[X])$ is the natural projection and $I=(X) \subset k[X]$ is a maximal ideal.
Describe what can be said about the nilradical of 6add127376 vasirosy
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