A characterization of locally compact fields of zero characteristic
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Displaying 1 – 8 of 8
A constructive Approach to Noether's Problem.
Gregor Kemper (1996)
Manuscripta mathematica
A Hauptsatz of L. E. Dickson and Artin-Schreier extensions.
Robert C. Valentini, Manohar L. Madan (1980)
Journal für die reine und angewandte Mathematik
A really elementary proof of real Lüroth's theorem.
T. Recio, J. R. Sendra (1997)
Revista Matemática de la Universidad Complutense de Madrid
Classical Lüroth theorem states that every subfield K of K(t), where t is a transcendental element over K, such that K strictly contains K, must be K = K(h(t)), for some non constant element h(t) in K(t). Therefore, K is K-isomorphic to K(t). This result can be proved with elementary algebraic techniques, and therefore it is usually included in basic courses on field theory or algebraic curves. In this paper we study the validity of this result under weaker assumptions: namely, if K is a subfield...
A representation theorem for a class of rigid analytic functions
Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu (2003)
Journal de théorie des nombres de Bordeaux
Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .
Algebraic independence of polynomials
Ivica Gusić (2000)
Acta Arithmetica
An Analogue of Artin-Schreier Theorem.
Moshe Jarden (1979)
Mathematische Annalen
Automorphism Groups of Fields.
Manfred Dugas, Rüdiger Göbel (1994)
Manuscripta mathematica
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