Property: (right/left) PCI ring
Definition: (right PCI ring) (right PCI ring) "Proper Cyclics are Injective": The proper right cyclic modules of $R$ (defined as the quotients not isomorphic to $R_R$) are injective $R$-modules.
Reference(s):
(No citations retrieved.)
Metaproperties:
This property has the following metaproperties
This property
does not have the following metaproperties
- stable under products
(Counterexample: $R_{ 57 }$)
- forms an equational class
(counterexample needed)
- passes to subrings
(Counterexample: $R_{ 6 }$ is a subring of $R_{ 101 }$)