Homological Algebra of Semimodules and Semicontramodules

1. Preliminaries and Summary
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

2. Semialgebras and Semitensor Product
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

3. Derived Functor SemiTor
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

4. Semicontramodules and Semihomomorphisms
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

5. Derived Functor SemiExt
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

6. Comodule-Contramodule Correspondence
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

7. Semimodule-Semicontramodule Correspondence
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

8. Functoriality in the Coring
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

9. Functoriality in the Semialgebra
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

10. Closed Model Category Structures
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

11. A Construction of Semialgebras
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

12. Relative Nonhomogeneous Koszul Duality
Leonid Positselski, Sergey Arkhipov, Dmitriy Rumynin

Keywords: Mathematics, Global Analysis and Analysis on Manifolds, Differential Geometry