Remark

Tag 04IF, permanent. Cite it as [Bourbaki, Tag 04IF].

Commutative Algebra, chapter III, § 4. Lifting in complete rings

Proposition 8 again gives the structure of a semi-local ring on $A$ which is Hausdorff and complete with the $c$ -adic topology (c the Jacobson radical of $A$ ), which has already been obtained as a consequence of § 2, no. 13, Corollary to Proposition 19.

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

Cited by

Nothing.

Cites

§ 2, no. 13, Corollary to Proposition 19
Proposition 8