£60.99

Cambridge University Press Galois Theories (Cambridge Studies in Advanced Mathematics, Series Number 72)

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£64.99 £54.69 £56.94 £59.19 £61.43 £63.68 £65.93 09 June 2024 07 November 2024 07 April 2025 05 September 2025 04 February 2026

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155 days 251 days 159 days · current 18 days 23 days 0 63 126 188 251 £56-58 £58-59 £59-61 £61-63 £63-65 Days at Price

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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, 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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
21 August 2008
Listed Since
28 March 2008

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