Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(2): 267-276

Online first article January 18, 2017      Printed April 30, 2017

https://doi.org/10.4134/CKMS.c160102

Copyright © The Korean Mathematical Society.

Rings with many regular elements

Nahid Ashrafi and Ebrahim Nasibi

Semnan University, P.O. Box: 86149-56841

Abstract

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In this paper we introduce rings that satisfy regular $1$-stable range. These rings are left-right symmetric and are generalizations of unit $1$-stable range. We investigate characterizations of these kind of rings and show that these rings are closed under matrix rings and Morita Context rings.

Keywords: stable range one, unit $1$-stable range, regular $1$-stable range

MSC numbers: 16E50, 16U99

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