e/Kummer theory

Information
has gloss	eng: In mathematics, Kummer theory provides a description of certain types of field extensions involving the adjunction of nth roots of elements of the base field. The theory was originally developed by Ernst Kummer around the 1840s in his pioneering work on Fermat's last theorem. The main statements do not depend on the nature of the field - apart from its characteristic, which should not divide the integer n - and therefore belong to abstract algebra. The theory of cyclic extensions of the field K when the characteristic of K does divide n is called Artin-Schreier theory.
lexicalization	eng: Kummer theory
instance of	e/Cyclotomic field

Meaning
German
has gloss	deu: Im mathematischem Teilgebiet der Körpertheorie beschreibt die Kummertheorie bestimmte Körpererweiterungen, die man durch Adjunktion n-ter Wurzeln von Elementen des Grundkörpers erhält. Ursprünglich wurde die Theorie von Ernst Kummer bei seiner Beschäftigung mit der fermatschen Vermutung in den 1840er-Jahren entwickelt.
lexicalization	deu: Kummer-Theorie
lexicalization	deu: Kummertheorie
French
lexicalization	fra: Theorie de Kummer
lexicalization	fra: théorie de Kummer
Italian
has gloss	ita: In matematica, la teoria di Kummer fornisce una descrizione di alcuni tipi di estensioni di campi corrispondenti all'aggiunta di radici n-esime di elementi del campo di base.
lexicalization	ita: teoria di Kummer
Portuguese
has gloss	por: Em matemática, a teoria de Kummer fornece a descrição de certos tipos de extensões de corpo envolvendo a adjunção de raízes n-ésimas de elementos do corpo básico.
lexicalization	por: Teoria de Kummer