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Galois Theories PDF

353 Pages·2001·4.746 MB·English
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by Francis Borceux, George Janelidze| 2001| 353 pages| 4.746| English

About Galois Theories

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.

Detailed Information

Author:Francis Borceux, George Janelidze
Publication Year:2001
ISBN:9780521803090
Pages:353
Language:English
File Size:4.746
Format:PDF
Price:FREE
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