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: Chen, H.V., Chin, A.Y.M.
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2002
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Online Access:http://eprints.um.edu.my/17455/1/ChenHV_%26_ChinAYM_%282002%29.pdf
http://eprints.um.edu.my/17455/
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.