Abstract

ABSTRACT Let R and S be arbitrary associative rings. Given a bimodule R W s , we denote by Δ? and Γ? the functors Hom?(−, W) and (−, W), 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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