Displaying similar documents to “Correction to the paper 'Structure theorems for radical extensions of fields', Acta Arith. 38 (1980), pp. 111-115”

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...

Euclidean fields having a large Lenstra constant

Armin Leutbecher (1985)

Annales de l'institut Fourier

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Based on a method of H. W. Lenstra Jr. in this note 143 new Euclidean number fields are given of degree n = 7 , 8 , 9 and 10 and of unit rank ≤ 5 . The search for these examples also revealed several other fields of small discriminant compared with the lower bounds of Odlyzko.