The first systematic exposition of the theory of derived categories, with key applications in commutative and noncommutative algebra.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Amnon Yekutieli is Professor of Mathematics at Ben-Gurion University of the Negev, Israel. His research interests are in algebraic geometry, ring theory, derived categories and deformation quantization. He has taught several graduate-level courses on derived categories and has published three previous books.
Inhaltsangabe
Introduction 1. Basic facts on categories 2. Abelian categories and additive functors 3. Differential graded algebra 4. Translations and standard triangles 5. Triangulated categories and functors 6. Localization of categories 7. The derived category D(A,M) 8. Derived functors 9. DG and triangulated bifunctors 10. Resolving subcategories of K(A,M) 11. Existence of resolutions 12. Adjunctions, equivalences and cohomological dimension 13. Dualizing complexes over commutative rings 14. Perfect and tilting DG modules over NC DG rings 15. Algebraically graded noncommutative rings 16. Derived torsion over NC graded rings 17. Balanced dualizing complexes over NC graded rings 18. Rigid noncommutative dualizing complexes References Index.
