Neuware - 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.

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Bibliographic Details

Title: The Separable Galois Theory of Commutative Rings
Publisher: CRC Press Jul 2014
Publication Date: 2014
Language: English
ISBN 10: 1482208059
ISBN 13: 9781482208054
Binding: Buch
Edition: 2nd Edition
Condition: Neu
Dimensions: 234 millimeters width by 152 millimeters height by 15 millimeters depth
Weight: 386 grams

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Synopsis

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.

About the Author

Andy R. Magid

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