Bourbaki

Scholium

Tag 06H9, permanent. Cite it as [Bourbaki, Tag 06H9].

Algebra, V, p. 13, § 2. Extensions

Let K and E be two fields and u a homomorphism of K into E. If K' is a field containing K as subfield, there exists a field E' containing E as subfield and a homomorphism u' of K' into E' extending u'.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Transcribed from the printed edition, 2003, Springer. Not translated.