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

FRANCOIS OLLIVIER, BRAHIM SADIK

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Source: Crossref

Published: Jan 1, 2022

DOI: 10.55730/1300-0098.3158

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Source abstract

A generalization of Lüroth's theorem expresses that every transcendence degree 11 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.

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A simple and constructive proof to a generalization of Lüroth's theorem — Mathematical Frontier Network