A simple and constructive proof to a generalization of Lüroth's theorem

01/25/2022

∙

by   François Ollivier, et al.

∙

0

∙

share

A generalization of Lüroth's theorem expresses that every transcendence degree 1 subfield of the rational function field is a simple extension. In this note we show that a classical proof of this theorem also holds to prove this generalization.