Galois Theories

Galois Theories

by Francis Borceux, George Janelidze
     
 

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ISBN-10: 0521070414

ISBN-13: 9780521070416

Pub. Date: 07/31/2008

Publisher: Cambridge University Press

Beginning with the classical finite dimensional Galois theory of fields, this book places the theory in a broader context. It presents work by Grothendieck in terms of separable algebras before moving on to the infinite dimensional case. The categorical context of a general Galois theorem is formulated, and applications are supplied. The first chapters are accessible

Overview

Beginning with the classical finite dimensional Galois theory of fields, this book places the theory in a broader context. It presents work by Grothendieck in terms of separable algebras before moving on to the infinite dimensional case. The categorical context of a general Galois theorem is formulated, and applications are supplied. The first chapters are accessible to upper-level undergraduates; later chapters are at the graduate level. Borceux teaches at the Universite Catholique de Luivain. Janelidze teaches at the Georgian Academy of Sciences, Tbilisi. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9780521070416
Publisher:
Cambridge University Press
Publication date:
07/31/2008
Series:
Cambridge Studies in Advanced Mathematics Series, #72
Pages:
356
Product dimensions:
5.90(w) x 8.90(h) x 1.00(d)

Related Subjects

Table of Contents

Introduction; 1. Classical Galois theory; 2. Galois theory of Grothendieck; 3. Infinitary Galois theory; 4. Categorical Galois theory of commutative rings; 5. Categorical Galois theorem and factorization systems; 6. Covering maps; 7. Non-Galoisian Galois theory; Appendix; Bibliography; Index.

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