Separability
Separable fields
Separable rings
Separable schemes
Separable polynomials
Module projective algebras
Idempotents and Profinite Spaces
Boolean algebras and idempotents
Profinite spaces
Covering spaces
Profinite group actions
Rings of functions
The Boolean Spectrum
Pierce’s representation
Topology of the Boolean spectrum
The sheaf on the Boolean spectrum
Boolean spectra and rings of functions
Galois Theory over a Connected Base
Separable, strongly separable, locally strongly separable
Separably closed and separable closure
Separability idempotents
Infinite and locally weakly Galois extensions
Galois correspondence
Separable Closure and the Fundamental Groupoid
Componential strong separability
Separable closure
Correspondence for separably closed
Categorical correspondence
Categorical Galois Theory and the Galois Correspondence
Subobjects, equivalence relations, and quotients
Splitting extensions and categorical correspondences
Index
Bibliographic notes appear at the end of each chapter.
Biography
Andy R. Magid
"This book provides a complete and self-contained account of the Galois theory of commutative rings …"
—Nikolay I. Kryuchkov, Zentralblatt MATH 1298
