A simple and constructive proof to a generalization of L\"uroth's theorem
Commutative Algebra
2022-09-23 v2 Symbolic Computation
Number Theory
Abstract
A generalization of L{\"u}roth'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.
Cite
@article{arxiv.2201.11733,
title = {A simple and constructive proof to a generalization of L\"uroth's theorem},
author = {François Ollivier and Brahim Sadik},
journal= {arXiv preprint arXiv:2201.11733},
year = {2022}
}
Comments
5 pages