Derived Categories

Derived Categories

Yekutieli, Amnon

Cambridge University Press

12/2019

370

Dura

Inglês

9781108419338

15 a 20 dias

Descrição não disponível.
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.
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