Definition 10.36.9. Let R \to S be a ring map. The ring S' \subset S of elements integral over R, see Lemma 10.36.7, is called the integral closure of R in S. If R \subset S we say that R is integrally closed in S if R = S'.
Definition 10.36.9. Let R \to S be a ring map. The ring S' \subset S of elements integral over R, see Lemma 10.36.7, is called the integral closure of R in S. If R \subset S we say that R is integrally closed in S if R = S'.
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