A note on regular rings with stable range one

It is known that a regular ring has stable range one if and only if it is unit regular. The purpose of this note is to give an independent and more elementary proof of this result.

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Bibliographic Details
Main Authors: H. V. Chen, A. Y. M. Chin
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202109021
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Description
Summary:It is known that a regular ring has stable range one if and only if it is unit regular. The purpose of this note is to give an independent and more elementary proof of this result.
ISSN:0161-1712
1687-0425