Eine Verschärfung des Satzes von der Normalbasis. (An improvement of the normal basis theorem)
type: Item
instance of: scholarly article
title: Eine Verschärfung des Satzes von der Normalbasis. (An improvement of the normal basis theorem)
zbMATH Open document ID: 0607.12011
DOI: 10.1016/0021-8693(86)90174-2
author: D. Blessenohl
author: Karsten Johnsen
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: The authors study some properties of the free polynomials over a field and of the free elements of an algebraic closure of a field. They also obtain several results about the decompositions of the finite abelian groups and about the completely regular elements of the Galois extensions. Their main result is the following improvement of the normal basis theorem: If L/K is a finite separable field extension then L is generated by a completely free element over K.
Mathematics Subject Classification ID: 12F10
Mathematics Subject Classification ID: 12E05
Mathematics Subject Classification ID: 13B25
Mathematics Subject Classification ID: 11R32
zbMATH DE Number: 3981294
zbMATH Keywords: free polynomials
zbMATH Keywords: normal basis theorem
zbMATH Keywords: finite separable field extension
zbMATH Keywords: completely free element
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90174-2
OpenAlex ID: W2008204481
cites work: Q3259104
cites work: Q3285650
cites work: Endliche Gruppen I
cites work: Lineare Abhängigkeiten von Einheitswurzeln. (Linear dependence of roots of unity.)
cites work: Q3216750
description: scientific article; zbMATH DE number 3981294