Remark 4

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

Algebra, VIII, p. 251, § 14. Central Simple Algebras

In particular, if A is a central simple K-algebra and $n\geqslant 1$ , then $\mathbf{M}_n(A)$ is a central simple K-algebra (VIII, p. 102, Example 1).

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

Theorem 1, § 14

Cites

VIII, p. 102, Example 1