DERIVED EQUIVALENCE INDUCED BY INFINITELY GENERATED n-TILTING MODULES

Let T(R) be a right n-tilting module over an arbitrary associative ring R. In this paper we prove that there exists an n-tilting module T(R)' equivalent to T(R) which induces a derived equivalence between the unbounded derived category D(R) and a triangulated subcategory of epsilon(perpendicular to) of D(End(T')) equivalent to the quotient category of D(End(T')) modulo the kernel of the total left derived functor - circle times(L)(S') T'. If T(R) is a classical n-tilting module, we have that T = T' and the subcategory epsilon(perpendicular to) coincides with D(End vertical bar(T)), recovering the classical case