Corollary 1
Tag 04C9, permanent. Cite it as [Bourbaki, Tag 04C9].
Commutative Algebra, chapter II, § 5. Finitely generated projective modules. Invertible fractional ideals
For two invertible sub-A-modules of B to have the same image in , it is necessary and sufficient that they be isomorphic.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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