Corollary 2

Tag 00AZ, permanent. Cite it as [Bourbaki, Tag 00AZ].

Algebra, VIII, p. 162, § 9. Radical

Let $(P, u)$ be a projective cover of the A-module M. If Q is a projective A-module and $g: Q\rightarrow M$ a surjective linear mapping, then there exists a surjective linear mapping $f: Q\rightarrow P$ such that $g=u\circ f$ .

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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