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Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2011Copyright date: ©2010Edition: 1st edDescription: 1 online resource (146 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470406134
Subject(s): Genre/Form: Additional physical formats: Print version:: Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule CorrespondenceDDC classification:
  • 512.46
LOC classification:
  • QA169 -- .P67 2010eb
Online resources:
Contents:
Intro -- Contents -- Introduction -- 1. Derived Category of DG-Modules -- 2. Derived Categories of DG-Comodules and DG-Contramodules -- 3. Coderived and Contraderived Categories of CDG-Modules -- 4. Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules -- 5. Comodule-Contramodule Correspondence -- 6. Koszul Duality: Conilpotent and Nonconilpotent Cases -- 7. A-Algebras and Curved A-Coalgebras -- 8. Model Categories of DG-Modules, CDG-Comodules, and CDG-Contramodules -- 9. Model Categories of DG-Algebras and CDG-Coalgebras -- Appendix A. Homogeneous Koszul Duality -- Appendix B. D- Duality -- Bibliography.
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Intro -- Contents -- Introduction -- 1. Derived Category of DG-Modules -- 2. Derived Categories of DG-Comodules and DG-Contramodules -- 3. Coderived and Contraderived Categories of CDG-Modules -- 4. Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules -- 5. Comodule-Contramodule Correspondence -- 6. Koszul Duality: Conilpotent and Nonconilpotent Cases -- 7. A-Algebras and Curved A-Coalgebras -- 8. Model Categories of DG-Modules, CDG-Comodules, and CDG-Contramodules -- 9. Model Categories of DG-Algebras and CDG-Coalgebras -- Appendix A. Homogeneous Koszul Duality -- Appendix B. D- Duality -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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