A note on weakly primitive rings (Q1175597)

Recall that a ring is a weakly primitive ring if it has a faithful critically compressible module. The author generalizes some results on primitive rings to weakly primitive rings and gets the following main theorem: If \(R\) acts on the \(R\)-lattice \((E,{_ E V_ R},M_ R)\) 2- fold transitively, then \(R\) acts on the \(R\)-lattice \((E,{_ E V_ R},M_ R)\) \(k\)-fold transitively for every integer \(k\).