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