Remark

Tag 048L, permanent. Cite it as [Bourbaki, Tag 048L].

Commutative Algebra, chapter II, § 3. Local rings. Passage from the local to the global

If $N$ is an $S^{-1}A$ -module, $S^{-1}N$ is identified with $N$ and this is consequently equivalent to saying that $N$ is a flat $S^{-1}A$ -module or a flat $A$ -module.

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

Cited by

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Cites

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