Galois Theories by Francis Borceux
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Galois Theories
By Francis Borceux

Galois Theories

By (author) See other recent books by Francis Borceux See other recent books by George Janelidze
Series edited by B. Bollobas See other recent books by B. Bollobas
Format: Hardback

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Galois Theories by Francis Borceux

Book Description

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.

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Book Details

ISBN: 9780521803090
ISBN-10: 0521803098
Format: Hardback
(228mm x 152mm x 24mm)
Pages: 356
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-Feb-2001
Country of Publication: United Kingdom

Other Editions...


Books By Author Francis Borceux

Galois Theories by Francis Borceux Galois Theories, Paperback (July 2008)

Develops Galois theory in a more general context, emphasizing category theory.

Handbook of Categorical Algebra by Francis Borceux Handbook of Categorical Algebra, Paperback (April 2008)

Second in a three part set, this volume introduces important classes of categories (abelian, monadic, fibred, etc.).

Handbook of Categorical Algebra: Volume 3, Sheaf Theory by Francis Borceux Handbook of Categorical Algebra: Volume 3, Sheaf Theory, Hardback (December 1994)

Third in a three part set, this volume introduces topos theory and the idea of sheaves.

Handbook of Categorical Algebra: Volume 2, Categories and Structures by Francis Borceux Handbook of Categorical Algebra: Volume 2, Categories and Structures, Hardback (November 1994)

Second in a three part set, this volume introduces important classes of categories (abelian, monadic, fibred, etc.).

» View all books by Francis Borceux

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