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Published in:
1994 | OriginalPaper | Chapter
Function Fields of Conies, a Theorem of Amitsur—MacRae, and a Problem of Zariski
Author : Jack Ohm
Published in: Algebraic Geometry and its Applications
Publisher: Springer New York
Included in: Professional Book Archive
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One of the first and most fundamental results in the theory of non-algebraic field extensions is Lüroth’s theorem (1876): If k ⊂ L ⊆ k(t) = K are field extensions, with t transcendental over k, then there exists u ε L such that L = k(u).