The Stacks project

Exercise 111.29.1. Give an example of a finite type ${\mathbf Z}$-algebra $R$ with the following two properties:

  1. There is no ring map $R \to {\mathbf Q}$.

  2. For every prime $p$ there exists a maximal ideal ${\mathfrak m} \subset R$ such that $R/{\mathfrak m} \cong {\mathbf F}_ p$.

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View Exercise 111.29.1 as pdf