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Let R and S be arbitrary associative rings. Given a bimodule , we denote by
and
the functors
and
, where
or S. We say that
is a finitistic weakly cotilting bimodule (briefly FWC) if for each module M cogenerated by W, finitely generated or homomorphic image of a finite direct sum of copies of W,
. We are able to describe, on a large class of finitely generated modules, the cotilting-type duality induced by a FWC-bimodule.
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