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Algebra and Galois Theories

Algebra and Galois Theories

Paperback

Algebra

ISBN10: 3030327981
ISBN13: 9783030327989
Publisher: Springer
Published: Jul 14 2021
Pages: 462
Weight: 1.49
Height: 0.98 Width: 6.14 Depth: 9.21
Language: English

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.

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Algebra