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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Studies in Advanced Mathematics |
Release date: |
July 2008 |
First published: |
April 2008 |
Authors: |
Francis Borceux
• George Janelidze
|
Dimensions: |
229 x 152 x 20mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
356 |
ISBN-13: |
978-0-521-07041-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-521-07041-4 |
Barcode: |
9780521070416 |
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