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[Chapter 0, Definition 23.1.1, EGA]

Definition 10.161.1. Let $R$ be a domain with field of fractions $K$.

  1. We say $R$ is N-1 if the integral closure of $R$ in $K$ is a finite $R$-module.

  2. We say $R$ is N-2 or Japanese if for any finite extension $L/K$ of fields the integral closure of $R$ in $L$ is finite over $R$.

Comments (2)

Comment #2747 by Ariyan Javanpeykar on

A reference for this definition: EGA IV_0, Definition 23.1.1

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  • 7 comment(s) on Section 10.161: Japanese rings

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View Definition 10.161.1 as pdf