Corollary 1

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

Algebra, chapter V, § 9. Conjugate elements and quasi-Galois extensions

— Let $x$ be an element of $\Omega$ of degree $n$ over $K$ , and let $f$ be the minimal polynomial of $x$ over $K$ . The conjugates of $x$ over $K$ are-the roots off in $\Omega$ and their number is at most equal to $n$ .

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

Cited by

Nothing.

Cites

Nothing.