Bourbaki

Remark 3

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

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

Let A and B be Morita-equivalent K-algebras. The algebra A is central simple if and only if B is (VIII, p. 105, Proposition 6; p. 111, Corollary; and p. 102, Corollary 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

Nothing.

Cites

Transcribed from the printed edition, 2023, Springer Nature. Not translated.