On a Class of circle plus-Supplemented Modules

In this paper, we introduce principally circle plus-supplemented modules as a generalization of circle plus-supplemented modules and principally lifting modules. This class of modules is a strengthening of principally supplemented modules. We show that the class of principally circle plus-supplemented modules lies between classes of EH-supplemented modules and principally supplemented modules. We prove that some results of circle plus-supplemented modules and principally lifting modules can be extended to principally circle plus-supplemented modules for this general setting. We obtain some characterizations of principally semiperfect rings and von Neumann regular rings by using principally circle plus-supplemented modules.