Corollary 1

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

Algebra, VIII, p. 256, § 14. Central Simple Algebras

Let A be a central simple algebra over K, and let L be an extension of K of finite degree. If $f$ and $g$ are K-algebra homomorphisms from L to A, then there exists an inner automorphism $\theta$ of A such that $g=\theta \circ f$ .

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

Proposition 4, § 19

Cites

Nothing.