On a class of Harada rings

Abstract

In this study, inspired by the definition and a previous study [F. Eryılmaz, SS-lifting modules and rings, Miskolc Math. Notes 22 (2021), no. 2, 655–662], left Harada rings are adapted to ss-Harada rings, and the important properties of these rings are provided. The characterization of a left ss-Harada ring RR with RR left perfect and Rad(R){\rm{Rad}}\left(R) included in Soc(RR){\rm{Soc}}\left({}_{R}R) was found with the help of strongly local RR-modules.

Keywords

• ss-harada ring
• left artinian ring
• ss-lifting module
• 16d90
• 17a01