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Galois Theories Cambridge Studies in Advanced Mathematics Series Number 72

by [Borceux, Francis, Janelidze, George]

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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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Product Details

  • Cambridge University Pres Brand
  • Mar 19, 2001 Pub Date:
  • 9780521803090 ISBN-13:
  • 0521803098 ISBN-10:
  • 356.0 pages Hardcover
  • English Language
  • 9.25 in * 0.75 in * 6 in Dimensions:
  • 1 lb Weight: