On Generalized Regular Local Ring
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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Zakho
2015-06-01
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Series: | Science Journal of University of Zakho |
Subjects: | |
Online Access: | https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/120 |
Summary: | 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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ISSN: | 2663-628X 2663-6298 |