论文标题
简单而建设性的证明吕伦定理的概括
A simple and constructive proof to a generalization of Lüroth's theorem
论文作者
论文摘要
L {ü} Roth定理的概括表明,每个超越程度的1子字段是一个简单的扩展。在本说明中,我们表明该定理的经典证明也有证明这一概括。
A generalization of L{ü}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.