Theorem 10.85.4. If $P$ is a projective module over a local ring $R$, then $P$ is free.

** Projective modules over local rings are free. **

**Proof.**
Follows from Lemmas 10.85.1, 10.85.2, and 10.85.3.
$\square$

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## Comments (1)

Comment #1037 by Adeel Khan on