Partial tilting and cotilting bimodules

Let R and S be arbitrary associative rings. The purpose of this paper is to study the equivalences induced by HomR(V,−), VS⊗− and their derived functors, and the dualities induced by HomR(−,W), HomS(−,W) and their derived functors with partial tilting bimodule and partial cotilting bimodule, without any finiteness condition.