Corollary

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

Algebra, chapter V, § 4. Algebraically closed extensions

— *Let K be a field, $(f_i)_{i \in I}$ , a family of non-constant polynomials in $K[X]$ and F, F' splitting extensions of $(f_i)_{i \in I}$ . Then there exists a K-isomorphism of F onto F.

This follows from Prop. 5 and V, p. 13, Cor. of Prop. 4.

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

Cited by

Nothing.

Cites

V, p. 13
Cor. of Prop. 4
Prop. 5