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Displaying similar documents to “On equations in two S-units over function fields of characteristic 0”

Extending automorphisms to the rational fractions field.

Fernando Fernández Rodríguez, Agustín Llerena Achutegui (1991)

Extracta Mathematicae

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We say that a field K has the Extension Property if every automorphism of K(X) extends to an automorphism of K. J.M. Gamboa and T. Recio [2] have introduced this concept, naive in appearance, because of its crucial role in the study of homogeneity conditions in spaces of orderings of functions fields. Gamboa [1] has studied several classes of fields with this property: Algebraic extensions of the field Q of rational numbers; euclidean, algebraically closed and pythagorean fields; fields...

On ruled fields

Jack Ohm (1989)

Journal de théorie des nombres de Bordeaux

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Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.

Note on a variation of the Schröder-Bernstein problem for fields

F. S. Cater (2002)

Czechoslovak Mathematical Journal

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In this note we study fields F with the property that the simple transcendental extension F ( u ) of F is isomorphic to some subfield of F but not isomorphic to F . Such a field provides one type of solution of the Schröder-Bernstein problem for fields.