C.P. modules and their applications

Authors : Qiongling LIU, Jianlong CHEN

Pages : 8-17

Doi:10.3906/mat-1104-37

View : 12 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let R be a ring. A left R-module M is called a c.p. module if every cyclic submodule of M is projective. This notion is a generalization of left p.p. rings in the general module theoretic setting. The aim of this article is to investigate these modules. Some characterizations and properties are given. As applications, the connections among Baer rings, p.p. rings and von Neumann regular rings are studied.
Keywords : Key words Baer ring, p p ring, c p module, von Neumann regular ring