ABSTRACT
In this note we collect some properties of cotilting bimodules that are more or less close to Morita bimodules, i.e., of both "hereditary" and "non hereditary" cotilting bimodules in the sense of Mantese [Ml]. By dealing with finite dimensional bimodules and by cqmparing finite Auslander-Reiten quivers, we show that the results of [Ml] are as precise as possible. Roughly speaking, on the one hand, very large modules show up as injective envelopes of small cotilting modules. On the other hand, almost all symmetries between left and right modules seem to vanish. Before we describe the results proved in the sequel, we recall some definitions and we fix the notation.
