ENGLISH

Galois Theories

By Francis Borceux , George Janelidze

Book information

Publisher
Cambridge University Press
Year
2001
ISBN
0521803098, 9780521803090
Open Library ID
OL7754794M
Language
english
Format
DJVU
Filesize
2 MB (2343084 bytes)
Series
Cambridge studies in advanced mathematics 72
Edition
1
Pages
353\353
Topic
Mathematics Algebra
Library
kolxoz
DPI
600
Scanned
yes
Time added
2009-07-20 03:45:11

Description

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context. 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. For all algebraists and category theorists this book will be a rewarding read.

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