The Separable Galois Theory of Commutative Rings

Magid Andy R.

ISBN 10: 1482208059 / ISBN 13: 9781482208054

Editore: Taylor & Francis Group, 2014

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Codice articolo 55099316

Dati bibliografici

• Titolo: The Separable Galois Theory of Commutative Rings
• Editore: Taylor & Francis Group
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 1482208059
• ISBN 13: 9781482208054
• Rilegatura: Rilegato
• Edizione: seconda edizione
• Condizione: New

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