Algebra and Galois Theories

Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which...

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Detalles Bibliográficos
Autor principal: Douady, Régine (-)
Autor Corporativo: SpringerLink (-)
Otros Autores: Douady, Adrien
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cham : Springer International Publishing 2020.
Edición:1st ed
Colección:Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b43222936*spi
Descripción
Sumario:Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.
Descripción Física:XXIII, 462 p. : 33 il., 6 il. col
Formato:Forma de acceso: World Wide Web.
ISBN:9783030327965