Abstract

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.

DOI

10.55730/1300-0098.3158

Keywords

Lüroth's theorem, one transcendence degree, simple extension

First Page

1291

Last Page

1293

Recommended Citation

OLLIVIER, F, & SADIK, B (2022). A simple and constructive proof to a generalization of Lüroth's theorem. Turkish Journal of Mathematics 46 (4): 1291-1293. https://doi.org/10.55730/1300-0098.3158

Download