Example

Tag 042Q, permanent. Cite it as [Bourbaki, Tag 042Q].

Commutative Algebra, chapter I, § 2. Flat modules

Applying Proposition 3 to the ring $\mathbf{Z}$ , it is seen that $\mathbf{Q}$ is a flat $\mathbf{Z}$ -module, but that $\mathbf{Z}/n\mathbf{Z}$ (for $n \geq 2$ ) is not a flat $\mathbf{Z}$ -module.

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

Cited by

Nothing.

Cites

Proposition 3