Remark

Tag 004G, permanent. Cite it as [Bourbaki, Tag 004G].

Algebra, VIII, p. 61, § 4. Semisimple Modules

Every nonzero isotypical module of type S has a quotient module and a submodule isomorphic to S; consequently, if M and $M'$ are nonzero isotypical A-modules of type S, then the group Hom $_A(M,M')$ is not reduced to 0.

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

Nothing.