Further results on reticulated rings
The authors continue the theme of the reticulation of a ring and answer a couple of questions raised by Simmons. They prove when a semiprime ring is quasi-regular, when it is a PF-ring or PP-ring or an almost PP-ring. Further they prove that if a ring \(R\) is a quasi-regular ring, then the space of minimal prime ideals of the reticulation of \(R\), \(LR\), is compact with respect to the hull-kernel topology.
scientific article; zbMATH DE number 149614