Bourbaki

Corollary 2

Tag 063H, permanent. Cite it as [Bourbaki, Tag 063H].

Algebra, chapter III, § 7. Exterior algebras

If M is a projective A-module, ⋀(M)\bigwedge(M) is a projective A-module.

The proof is the same as that of § 5, no. 5, Corollary to Theorem 1 replacing T by ⋀\bigwedge.

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

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Cites

Transcribed from the printed edition, 1998, Springer. Not translated.