1.

Record Nr.

UNINA9910827648503321

Autore

Positselski Leonid <1973->

Titolo

Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / / Leonid Positselski

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2010

©2010

ISBN

1-4704-0613-6

Descrizione fisica

1 online resource (133 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 212, Number 996

Disciplina

512.46

Soggetti

Derived categories (Mathematics)

Triangulated categories

Comodules

Koszul algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 212, Number 996 (first of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""