Turkish Journal of Mathematics
DOI
10.3906/mat-1104-37
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
Baer ring, p.p. ring, c.p. module, von Neumann regular ring
First Page
8
Last Page
17
Recommended Citation
LIU, QIONGLING and CHEN, JIANLONG
(2013)
"C.P. modules and their applications,"
Turkish Journal of Mathematics: Vol. 37:
No.
1, Article 2.
https://doi.org/10.3906/mat-1104-37
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss1/2
