ABSTRACT

Now, Morita dualities are induced by faithfully balanced injective cogenerators. Therefore it is natural to consider, more generally, dualities associated to faithfully balanced bimodules $UR, which are cotilting modules on both sides. For short, such a bimodule $UR is called a cotilting bimodule. This theory, introduced for Noetherian rings by R. Colby in [6] and by R. Colby and K. Fuller in [9], has been more recently developed in the papers [13], [15], [23], [24], [31], [25]. Other recent related papers are [7], [10], [11].