Positselski L. Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. - Providence: American Mathematical Society, 2011. - v, 133 p. - (Memoirs of the American Mathematical Society; vol.212, N 996). - Bibliogr.: p.131-133. - ISBN 978-0-8218-5296-5; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Introduction .................................................... 1 1 Derived Category of DG-Modules ............................... 7 2 Derived Categories of DG-Comodules and DG-Contramodules ..... 19 3 Coderived and Contraderived Categories of CDG-Modules ....... 25 4 Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules ............................... 43 5 Comodule-Contramodule Correspondence ........................ 55 6 Koszul Duality: Conilpotent and Nonconilpotent Cases ........ 61 7 Aoo-Algebras and Curved Aoo-Coalgebras ...................... 79 8 Model Categories of DG-Modules, CDG-Comodules, and CDG- Contramodules ............................................... 97 9 Model Categories of DG-Algebras and CDG-Coalgebras ......... 103 Appendix A. Homogeneous Koszul Duality ........................ 113 Appendix B. D-Ω Duality ....................................... 121 Bibliography .................................................. 131