Keywords : modules


On Simple GP – Injective Modules

Mohammed Th. Youns; Najlaa T. Jassim

AL-Rafidain Journal of Computer Sciences and Mathematics, 2012, Volume 9, Issue 1, Pages 147-154
DOI: 10.33899/csmj.2012.163678

In this  paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring. Also, proved that if R is N duo ring or R is NCI ring whose simple right R-module is GP-injective is S-weakly regular ring.
 

On Regularity and Flatness

Nazar H. Shuker

AL-Rafidain Journal of Computer Sciences and Mathematics, 2004, Volume 1, Issue 2, Pages 11-16
DOI: 10.33899/csmj.2004.164107

A ring R is called a right SF-ring if all its simple right R-modules are flat. It is well known that Von Neumann regular rings are right and left SF-rings. In this paper we study conditions under which SF-rings are strongly regular. Finally, some new characterstic properties of right SF-rings are given.