Extensions of Generalized Fitting Modules

摘要

In this paper,we study the closeness of strongly (co)-hopfian properties under some constructions such as the ring of Morita context,direct products,triangular matrix,fraction ring etc.Also,we prove that if M[X] is strongly hopfian (resp.strongly co-hopfian) in R[X]-Mod,then M is strongly hopfian (resp.strongly co-hopfian) in R-Mod.