On a generalization of the auslander-bridger transpose

Let λ be an artin algebra and _λω λ a faithfully balanced self-orthogonal bimodule. We generalize the notion of the Auslander-Bridger transpose to that of the transpose with respect to _λω _λand obtain some properties about dual modules with respect to_λω _λFurther, we characterize cotilting bimodules and give criteria for computing generalized Goren-stein dimension.