  We observe that the class of left and right artinian left and right morphic
rings agrees with the class of artinian principal ideal rings. For $R$ an
artinian principal ideal ring and $G$ a group, we characterize when $RG$ is a
principal ideal ring; for finite groups $G$, this characterizes when $RG$ is a
left and right morphic ring. This extends work of Passman, Sehgal and Fisher in
the case when $R$ is a field, and work of Chen, Li, and Zhou on morphic group
rings.
