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 circle times - and their derived functors, and the dualities induced by Hom(R)(-, W), Hom(S)(-, W) and their derived functors with V-R(S) Partial tilting bimodule and W-R(S) partial cotilting bimodule, without any finiteness condition.
Partial tilting and cotilting bimodules
TONOLO, ALBERTO
2006
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 circle times - and their derived functors, and the dualities induced by Hom(R)(-, W), Hom(S)(-, W) and their derived functors with V-R(S) Partial tilting bimodule and W-R(S) partial cotilting bimodule, without any finiteness condition.
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