Corollary 3
Tag 005S, permanent. Cite it as [Bourbaki, Tag 005S].
Algebra, VIII, p. 83, § 5. Commutation
Every finitely generated projective module over a commutative ring is balanced.
Indeed, a finitely generated projective module M is a generating -module by Proposition 3 of VIII, p. 82. The corollary therefore follows from the remark above.
Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.
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