Another work in progress: a paper about nonhomogeneous quadratic duality etc.

Plan:

1. Quadratic algebras over base rings; quadratic duality
2. Koszul algebras over base rings
3. Nonhomogeneous quadratic rings; duality with CDG-algebras
4. Coalgebroids over rings; quasi-differential structures
5. The Poincare-Birkhoff-Witt theorem over a base ring
6. Derived categories D and D'
7. Koszul duality between the derived category of modules and that of quasi-differential comodules
8. General Koszul duality

Currently only sections 1-3 are written. ( Read more... )