On Generalized Regular Local Ring

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Published: 2015-06-30
Keywords:
local, π-regular, exchange rings

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Zubayda M. Ibraheem
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Naeema A. Shereef
University of Mosul image/svg+xml

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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Article Details

Issue

Vol. 3 No. 1 (2015): June, 2015

Section

Science Journal of University of Zakho
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Author Biographies

Zubayda M. Ibraheem, University of Mosul

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

Naeema A. Shereef, University of Mosul

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

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://www.stest.uoz.edu.krd/index.php/sjuoz/article/view/120