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Record Nr. |
UNINA9910788851303321 |
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Autore |
Rognes John |
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Titolo |
Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups [[electronic resource]] |
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Pubbl/distr/stampa |
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Providence, : American Mathematical Society, 2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (154 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.192 |
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Disciplina |
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Soggetti |
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Commutative algebra |
Galois theory |
Homology theory |
Homotopy theory |
Ring extensions (Algebra) |
Mathematics |
Physical Sciences & Mathematics |
Algebra |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 131-132) and index. |
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Nota di contenuto |
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""Contents""; ""Galois Extensions of Structured Ring Spectra""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Galois extensions in algebra""; ""Â2.1. Galois extensions of fields""; ""Â2.2. Regular covering spaces""; ""Â2.3. Galois extensions of commutative rings""; ""Chapter 3. Closed categories of structured module spectra""; ""Â3.1. Structured spectra""; ""Â3.2. Localized categories""; ""Â3.3. Dualizable spectra""; ""Â3.4. Stably dualizable groups""; ""Â3.5. The dualizing spectrum""; ""Â3.6. The norm map""; ""Chapter 4. Galois extensions in topology"" |
""Â4.1. Galois extensions of E-local commutative S-algebras""""Â4.2. The Eilenberg-Mac Lane embedding""; ""Â4.3. Faithful extensions""; ""Chapter 5. Examples of Galois extensions""; ""Â5.1. Trivial extensions""; ""Â5.2. Eilenberg-Mac Lane spectra""; ""Â5.3. Real and complex topological K-theory""; ""Â5.4. The Morava change-of-rings theorem ""; ""Â5.5. The K(1)-local case ""; ""Â5.6. Cochain S-algebras ""; ""Chapter 6. Dualizability and alternate characterizations""; ""Â6.1. |
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