Author/Authors :
Mohammed, Akram S. College of Computer Science and Mathematics - Tikrit University, Tikrit, Salahaddin, Iraq , Ahmed, Ibrahim S. College of Education-Tuzkhurmatu - Tikrit University, Tuzkhurmatu, Salahaddin, Iraq , Asaad, Samah H. College of Education-Tuzkhurmatu - Tikrit University, Tuzkhurmatu, Salahaddin, Iraq
Abstract :
This article aims to introduce the concept of p−clean rings as a generalization of some concepts such as clean rings and r−clean rings. As the first result, we prove that every clean ring is a p−clean ring and every r−clean ring is a p−clean ring. Furthermore, we give the relation between von Neumann local ring and p−clean ring. Finally, we investigate many properties of p−clean rings.
Keywords :
ring , clean ring , r-clean ring , local ring and regular ring
