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How do you describe the normalization of $\mathrm{Spec}(k[[x,y]]/(xy))$? In particular, call this $N$. Why can $N$ be written as the intersection of 2 local rings and the same holds for the maximal ideal (with 2 maximal ideals)?

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    @AsalBeagDubh I did in my newest edit--it has to be approved first. It will be changed though. No worries.2015-01-21

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