ON A FINITISTIC COTILTING-TYPE DUALITY

ABSTRACT

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.

Acknowledgments