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E-book
Author Rognes, John

Title Galois extensions of structured ring spectra : stably dualizable groups / John Rognes
Published Providence, R.I. : American Mathematical Society, ©2008

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Description 1 online resource (vii, 137 pages) : illustrations
Series Memoirs of the American Mathematical Society, 1947-6221 ; v. 898
Memoirs of the American Mathematical Society ; no. 898. 0065-9266
Contents Galois extensions of structured ring spectra 1. Introduction 2. Galois extensions in algebra 3. Closed categories of structured module spectra 4. Galois extensions in topology 5. Examples of Galois extensions 6. Dualizability and alternate characterizations 7. Galois theory I 8. Pro-Galois extensions and the Amitsur complex 9. Separable and étale extensions 10. Mapping spaces of commutative $S$-algebras 11. Galois theory II 12. Hopf-Galois extensions in topology Stably dualizable groups 1. Introduction 2. The dualizing spectrum 3. Duality theory 4. Computations 5. Norm and transfer maps
Summary Galois Extensions of Structured Ring Spectra: Abstract Introduction Galois extensions in algebra Closed categories of structured module spectra Galois extensions in topology Examples of Galois extensions Dualizability and alternate characterizations Galois theory I Pro-Galois extensions and the Amitsur complex Separable and etale extensions Mapping spaces of commutative $S$-algebras Galois theory II Hopf-Galois extensions in topology References Stably Dualizable Groups: Abstract Introduction The dualizing spectrum Duality theory Computations Norm and transfer maps References Index
Bibliography Includes bibliographical references (pages 131-132) and index
Notes Print version record
Subject Galois theory.
Ring extensions (Algebra)
Homology theory.
Homotopy theory.
Commutative algebra.
Commutative algebra
Galois theory
Homology theory
Homotopy theory
Ring extensions (Algebra)
Form Electronic book
ISBN 9781470405045
1470405040