Left serial rings over which every right module with homogeneous top is a direct sum of hollow modules (Q1105667)

Let R be a left and right Artinian ring with identity. The main theorem of this paper is devoted to the characterization of a left serial ring R over which every projective indecomposable right module eR satisfies the condition (A): Every factor module of eR\(\oplus eR\) is a direct sum of hollow modules. The author gives four types of structure of such an eR, and characterizes these rings in terms of these types of structure of all eR.