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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