Corollary 1

Tag 00H6, permanent. Cite it as [Bourbaki, Tag 00H6].

Algebra, VIII, p. 265, § 14. Central Simple Algebras

Let A be a central simple K-algebra of finite degree. Every semisimple (resp. étale) commutative subalgebra of A is contained in a maximal commutative subalgebra of A that is semisimple (resp. étale).

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

Corollary 2, § 14
Proposition 5, § 14

Cites

Nothing.