Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3158
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.
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
