Proposition 4

Tag 00I2, permanent. Cite it as [Bourbaki, Tag 00I2].

Algebra, VIII, p. 280, § 15. Brauer Groups

Let $\mathscr{K}_K$ be the set of classes of central K-algebras of finite degree that are fields. The mapping $D\mapsto [D]$ from $\mathscr{K}_K$ to Br(K) is bijective.

This follows from Lemma 1 of VIII, p. 278 and Wedderburn’s theorem (VIII, p. 120, Theorem 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

Lemma 1 of VIII, p. 278
VIII, p. 120, Theorem 1