Definition 15.52.1. Let $R$ be a ring.

We say $R$ is

*quasi-excellent*if $R$ is Noetherian, a G-ring, and J-2.We say $R$ is

*excellent*if $R$ is quasi-excellent and universally catenary.

Definition 15.52.1. Let $R$ be a ring.

We say $R$ is

*quasi-excellent*if $R$ is Noetherian, a G-ring, and J-2.We say $R$ is

*excellent*if $R$ is quasi-excellent and universally catenary.

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