Let T be a right n-tilting module over an arbitrary associative ring R.
We show that there exists a
n-tilting module T' equivalent to T which induces a derived equivalence
between the unbounded derived category D(R) and the triangulated
subcategory of D(End(T')) consisting of the E-local objects, where E is
the kernel of the total left derived functor of the tensor product with
T' over End(T'). In case T is a classical n-tilting module, we get
again the Cline-Parshall-Scott and Happel's results.
This is a joint work with Bazzoni and Mantese.