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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.
Acknowledgments
Notes
The article appeared in Comm. Algebra, vol. 30(4), 1619–1634 (2002), and is being reprinted due to serious printing errors in the diagrams in the original version.