The Stacks project

[(32.B), MatCA]

Definition 15.47.1. Let $R$ be a Noetherian ring. Let $X = \mathop{\mathrm{Spec}}(R)$.

  1. We say $R$ is J-0 if $\text{Reg}(X)$ contains a nonempty open.

  2. We say $R$ is J-1 if $\text{Reg}(X)$ is open.

  3. We say $R$ is J-2 if any finite type $R$-algebra is J-1.

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View Definition 15.47.1 as pdf