Front Cover; Contents; Preface to the Revised Edition; Introduction; Chapter 1: Separability; Chapter 2: Idempotents and Profinite Spaces; Chapter 3: The Boolean Spectrum; Chapter 4: Galois Theory over a Connected Base; Chapter 5: Separable Closure and the Fundamental Groupoid; Chapter 6: Categorical Galois Theory and the Galois Correspondence
Summary
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 w