On Purely –Extending Modules

Authors

  • B. Al-Bahrani Department of Mathematics, College of Science, University of Baghdad

Keywords:

Pure submodule ; , y – closed submodule , Extending modules

Abstract

In this note we consider a generalization of the notion of a purely extending
modules, defined using y– closed submodules.
We show that a ring R is purely y – extending if and only if every cyclic nonsingular
R – module is flat. In particular every nonsingular purely y extending ring is
principal flat.

Downloads

Download data is not yet available.

Downloads

Published

2023-12-30

Issue

Vol. 54 No. 3 (2013)

Section

Mathematics

How to Cite

[1]
B. Al-Bahrani, “On Purely –Extending Modules”, Iraqi Journal of Science, vol. 54, no. 3, pp. 672–675, Dec. 2023, Accessed: Dec. 08, 2025. [Online]. Available: https://www.ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12172

Most read articles by the same author(s)