Corollary 2

Tag 003A, permanent. Cite it as [Bourbaki, Tag 003A].

Algebra, VIII, p. 46, § 3. Simple Modules

Let A be a local ring (VIII, p. 26, Definition 1) and $\mathfrak{r}$ its maximal ideal. The A-module $A_s/\mathfrak{r}$ is simple, and every simple A-module is isomorphic to $A_s/\mathfrak{r}$ .

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

VIII, p. 26, Definition 1