Abstract
Throughout this note, all rings will be self-basic connected artin algebras over a fixed commutative local artin ring k and all modules will be finitely generated. Homomorphisms will be written on the opposite side of the scalars. By mod-A (resp. A-mod), we denote the category of all right (resp. left) A-modules for an artin algebra A. The ordinary duality functor is denoted by D: mod-A 2 A-mod, i.e., D = Hom,(?, f) with the minimal injective cogenerator I over k. We are interested in the bimodules BTA with the following properties:
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