Includes bibliographical references (p. 331-335) and indexes.
CONTENTS NOTE
Text of Note
Classical galois theory -- Galois theory of grothendieck -- Infinitary galois theory -- Categorical galois theory of commuttive rings -- Categorical galois theorem and factorization systems -- Covering maps -- Non-galoisian galois theory.
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SUMMARY OR ABSTRACT
Text of Note
Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups.