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The Stacks project

Example 87.12.2. Let A be a weakly admissible topological ring. In this case we have

\text{Spf}(A)_{red} = \mathop{\mathrm{Spec}}(A/\mathfrak a)

where \mathfrak a \subset A is the ideal of topologically nilpotent elements. Namely, \mathfrak a is a radical ideal (Lemma 87.4.10) which is open because A is weakly admissible.


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