Proposition 3

Tag 04SS, permanent. Cite it as [Bourbaki, Tag 04SS].

Commutative Algebra, chapter VI, § 2. Places

Let $K$ be a field, $S$ a subring of $K$ and $f$ a homomorphism from $S$ to an algebraically closed field $L$ . Then there exists a place of $K$ with values in $L$ which extends $f$ .

Taking account of Proposition 1, this is a translation of Theorem 2 of § 1, no. 2.

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

Cited by

Proposition 4, § 2

Cites

Theorem 2 of § 1, no. 2
Proposition 1