Exercise 111.6.14. Prove that in $\mathop{\mathrm{Spec}}(A)$ every irreducible closed subset does have a generic point. In fact show that the map ${\mathfrak p} \mapsto \overline{\{ {\mathfrak p}\} }$ is a bijection of $\mathop{\mathrm{Spec}}(A)$ with the set of irreducible closed subsets of $X$.
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