Corollary 2
Tag 00GT, permanent. Cite it as [Bourbaki, Tag 00GT].
Algebra, VIII, p. 257, § 14. Central Simple Algebras
Let A be a central simple algebra over K, and let L be a subalgebra of A that is a field. Every K-algebra homomorphism from L to A extends to an inner automorphism of A.
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.
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