The Separable Galois Theory of Commutative Rings

Andy R Magid

ISBN 10: 1482208059 / ISBN 13: 9781482208054

Editore: CRC Press Jul 2014, 2014

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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.

Codice articolo 9781482208054

Dati bibliografici

• Titolo: The Separable Galois Theory of Commutative Rings
• Editore: CRC Press Jul 2014
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 1482208059
• ISBN 13: 9781482208054
• Rilegatura: Buch
• Edizione: seconda edizione
• Condizione: Neu
• Dimensioni: 234 L x 152 A x 15 P (millimetri) 234 millimetri di larghezza per 152 millimetri di altezza per 15 millimetri di profondità
• Peso: 386 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Andy R. Magid