Bourbaki

Corollary 3

Tag 04NT, permanent. Cite it as [Bourbaki, Tag 04NT].

Commutative Algebra, chapter V, § 1. Notion of an integral element

If KK is a field, every polynomial algebra K[X1,…,Xn]K[X_1, \ldots, X_n] is an integrally closed domain.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Cites

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Transcribed from the printed volume. Not translated.