Bourbaki

Corollary 2

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

Algebra, chapter X, § 4. Produits de torsion

Let N\mathbf N be a flat left AA-module. For every complex CC of right AA-modules, the canonical homomorphisms

γn(C,N):Hn(C)⊗AN⟶Hn(C⊗AN) \gamma_n(C,\mathbf N): H_n(C)\otimes_A \mathbf N \longrightarrow H_n(C\otimes_A \mathbf N)

are bijective.

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

Cited by

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Cites

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