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The Separable Galois Theory of Commutative Rings

By: (Author) Andy R. Magid

Manufacture on Demand

Ksh 28,800.00

Format: Hardback or Cased Book

ISBN-10: 1482208059

ISBN-13: 9781482208054

Edition Number: 2

Series: Chapman & Hall/CRC Pure and Applied Mathematics

Publisher: Taylor & Francis Inc

Imprint: Chapman & Hall/CRC

Country of Manufacture: CA

Country of Publication: GB

Publication Date: Jul 14th, 2014

Print length: 184 Pages

Weight: 398 grams

Dimensions (height x width x thickness): 16.40 x 23.90 x 1.50 cms

Product Classification: Biochemical engineering

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This book provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains a new chapter that introduces the theory of separable algebras. It presents complete proofs of all the main results and incorporates many examples to enable a better understanding.

The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains a new chapter on the theory of separable algebras.

The book develops the notion of commutative separable algebra over a given commutative ring and explains how to construct an equivalent category of profinite spaces on which a profinite groupoid acts. It explores how the connection between the categories depends on the construction of a suitable separable closure of the given ring, which in turn depends on certain notions in profinite topology. The book also discusses how to handle rings with infinitely many idempotents using profinite topological spaces and other methods.


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