Turkish Journal of Mathematics
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, FRANCOIS and SADIK, BRAHIM
(2022)
"A simple and constructive proof to a generalization of Lüroth's theorem,"
Turkish Journal of Mathematics: Vol. 46:
No.
4, Article 11.
https://doi.org/10.55730/1300-0098.3158
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss4/11
