Corollary

Tag 007J, permanent. Cite it as [Bourbaki, Tag 007J].

Algebra, VIII, p. 110, § 6. Morita Equivalence of Modules and Algebras

Let $f: V\rightarrow W$ be a B-linear mapping. Then $f$ is injective (resp. surjective) if and only if $1_P\otimes f$ is.

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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Cites

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