Algebra and Galois theories

Algebra and Galois theories / Régine Douady, Adrien Douady.

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

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Bibliographic Details
Main Authors: Douady, Régine (Author), Douady, Adrien (Author)
Format: eBook
Language:English
French
Published: Cham, Switzerland : Springer, [2020]
Subjects:
Galois theory.
Algebra.
algebra.
Álgebra
Teoría de Galois
Algebra
Galois theory
Online Access:Click for online access
Uniform Title:Algèbre et théories galoisiennes.
Description
Summary:Galois theory has such close analogies with the theory of coatings that algebraists use a geometric language to speak of body extensions, while topologists speak of "Galois coatings". This book endeavors to develop these theories in a parallel way, starting with that of coatings, 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 the Galois theory the geometric intuition that one can have in the context of the coatings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory
Physical Description:1 online resource (xxiii, 462 pages) : illustrations
Bibliography:Includes bibliographical references and index.
ISBN:9783030327965
3030327965
Language:Translated from French.
Source of Description, Etc. Note:Online resource; title from digital title page (viewed on August 12, 2020).

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