A cyclic module M that is not isomorphic to R is said to be a proper cyclic module. It is shown that a simple ring R must be right noetherian if every cyclic singular right R module is CS module. Also a simple ring R is Morita equivalent to a right PCI domain if and only if every cyclic singular right R module is quasicontinuous. Cozzens's domains are examples of a right PCI domain that is not a division ring. They are bringing at the end.
