On Generalized Regular Local Ring

Zubayda M. Ibraheem(1) , Naeema A. Shereef(2)
(1) University of Mosul ,
(2) University of Mosul

Abstract

A ring R is called a generalized Von Neumann regular local ring (GVNL-ring) if for any a∈R, either a or (1-a) is π-regular element. In this paper, we give some characterization and properties of generalized regular local rings. And we studied the relation between generalized regular local rings, Von Neumann regular rings, Von Neumann regular local rings (VNL-rings) and exchange rings.

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Authors

Zubayda M. Ibraheem
juoz@uoz.edu.krd (Primary Contact)
Naeema A. Shereef
Author Biographies

Zubayda M. Ibraheem

Dept. Of Mathematics ,College of Computer and   mathematical  Sciences, University of Mosul, Iraq.

Naeema A. Shereef

Dept. Of Mathematics ,College of Computer and   mathematical  Sciences, University of Mosul, Iraq

Ibraheem, Z. M., & Shereef, N. A. (2015). On Generalized Regular Local Ring. Science Journal of University of Zakho, 3(1), 145-152. https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/120

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How to Cite

Ibraheem, Z. M., & Shereef, N. A. (2015). On Generalized Regular Local Ring. Science Journal of University of Zakho, 3(1), 145-152. https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/120

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