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The Stacks project

Definition 10.162.1. Let R be a ring.

  1. We say R is universally Japanese if for any finite type ring map R \to S with S a domain we have that S is N-2 (i.e., Japanese).

  2. We say that R is a Nagata ring if R is Noetherian and for every prime ideal \mathfrak p the ring R/\mathfrak p is N-2.


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