Lifting modules, extending modules and their applications to generalized uniserial rings
Lifting modules, extending modules and their applications to generalized uniserial rings
Artinian serial principal ideal rings and artinian serial rings are traditionally called uniserial rings and generalized uniserial rings, respectively.These rings are important classical artinian rings as well as quasi-Frobenius rings.The reader is referred to Faith's Book [4] for these rings.As is well known, a ring R is a quasi-Frobenius ring …