Example 2

Tag 0042, permanent. Cite it as [Bourbaki, Tag 0042].

Algebra, VIII, p. 55, § 4. Semisimple Modules

If A is a field, then every A-module is semisimple by Theorem 1 of II, §7, No. 1, p. 292. This shows that, in general, a semisimple module decomposes in several ways into a direct sum of simple submodules (see, however, Corollary 2 of VIII, p. 68).

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

Theorem 1 of II, §7, No. 1, p. 292 not in this corpus
Corollary 2 of VIII, p. 68