Corollary 2

Tag 0DW6, permanent. Cite it as [Bourbaki, Tag 0DW6].

Algebra, chapter X, § 4. Produits de torsion

Suppose $B(C)$ and $B(C')$ are projective and $Z(C)$ is flat. Then the sequences of $k$ -modules (11) and (13) are exact and split. This follows from the theorem and the following lemma:

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

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Cites

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