Prehomogeneous vector spaces and field extensions.
David J. Wright, Akihiko Yukie (1992)
Inventiones mathematicae
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Displaying similar documents to “Noether's problem over an algebraically closed field.”
Prehomogeneous vector spaces and field extensions.
On some characterizations of the complex number field
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Bounds on the number of non-rational subfields of a function field.
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On the size of the first factor of the class number of a cyclotomic field.
A. Granville (1990)
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A necessary and sufficient condition for a vector field to be Killing.
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Abelian extensions of an absolutely unramified local field with general residue field.
Masato Kurihara (1988)
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Generalization of the Pfaff-Bilimovic method in the field theory.
Djordje Musicki (1962)
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Parametric form of an eight class field
Harvey Cohn, George Cooke (1976)
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On the problem of Baer and Kolchin in the Picard-Vessiot theory
Beata Kocel-Cynk, Elżbieta Sowa (2011)
Banach Center Publications
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We present the history of the development of Picard-Vessiot theory for linear ordinary differential equations. We are especially concerned with the condition of not adding new constants, pointed out by R. Baer. We comment on Kolchin's condition of algebraic closedness of the subfield of constants of the given differential field over which the equation is defined. Some new results concerning existence of a Picard-Vessiot extension for a homogeneous linear ordinary differential equation...
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...