Decomposing modules into projectives and injectives
Decomposing modules into projectives and injectives
A ring R is called a right PCI-ring if and only if for any cyclic right iέ-module C either C = R or C is injective.Faith has shown that right PCI-rings are either senτiprime Artinian or simple right semihereditary right Ore domains.Thus if R, and R 2 are right PCI-rings …