Bourbaki

Corollary

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

Algebra, chapter V, § 16. Differential criteria of separability

— *We have [ΩK(L):L]=tr⁡⋅deg⁡KL[\Omega_K(L) : L] = \operatorname{tr} \cdot \deg_K L when K is of characteristic 0.

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

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Cites

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