J-2 ring

In commutative algebra, a J-0 ring is a ring ${\displaystyle R}$ such that the set of regular points, that is, points ${\displaystyle p}$ of the spectrum at which the localization ${\displaystyle R_{p}}$ is a regular local ring, contains a non-empty open subset, a J-1 ring is a ring such that the set of regular points is an open subset, and a J-2 ring is a ring such that any finitely generated algebra over the ring is a J-1 ring.