The Separable Galois Theory of Commutative Rings

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.