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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author H. V. Chen
A. Y. M. Chin
author_facet H. V. Chen
A. Y. M. Chin
author_sort H. V. Chen
collection DOAJ
description 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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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2002-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8ad7c04e2e714915854e47f1dc728b592025-08-20T03:37:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131744945010.1155/S0161171202109021A note on regular rings with stable range oneH. V. Chen0A. Y. M. Chin1Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, MalaysiaInstitute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, MalaysiaIt 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.http://dx.doi.org/10.1155/S0161171202109021
spellingShingle H. V. Chen
A. Y. M. Chin
A note on regular rings with stable range one
International Journal of Mathematics and Mathematical Sciences
title A note on regular rings with stable range one
title_full A note on regular rings with stable range one
title_fullStr A note on regular rings with stable range one
title_full_unstemmed A note on regular rings with stable range one
title_short A note on regular rings with stable range one
title_sort note on regular rings with stable range one
url http://dx.doi.org/10.1155/S0161171202109021
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