Bourbaki

Definition 3

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

Algebra, chapter V, § 7. Separable algebraic extensions

— Let E be an extension of K. An element x of E which is algebraic over K is said to be separable over K if the algebraic extension K(x) of K is separable.

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.