Remark
Tag 004U, permanent. Cite it as [Bourbaki, Tag 004U].
Algebra, VIII, p. 67, § 4. Semisimple Modules
Let A and B be rings. Let M be an , B)-bimodule. It follows from Proposition 5 that the isotypical components of the A-module M are sub-bimodules of M. This holds, in particular, when M is an A-module and B is the opposite ring of End.
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.