Derived categories and Morita duality theory Original Research Article

We define a cotilting bimodule complex as the non-cummutative ring version of a dualizing complex, and show that a cotilting bimodule complex includes all indecomposable injective modules in case of Noetherian rings. Moreover we define strong-Morita derived duality, and show that existence of a cotilting bimodule complex is equivalent to one of strong-Morita derived duality.