Abstract

In this paper we study the transfer of the property of Hopfian modules between the right RR-module MRMR and some of its extension classes. Namely, under certain conditions, we show that: MRMR is a Hopfian right RR-module if and only if the skew generalized power series module [[MS,≤]][[MS,≤]] is a Hopfian right [[RS,≤,ω]][[RS,≤,ω]]-module.