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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202109021 |
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Article |
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doaj-8ad7c04e2e714915854e47f1dc728b592020-11-25T01:05:25ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
H. V. Chen A. Y. M. Chin |
| spellingShingle |
H. V. Chen A. Y. M. Chin A note on regular rings with stable range one International Journal of Mathematics and Mathematical Sciences |
| author_facet |
H. V. Chen A. Y. M. Chin |
| author_sort |
H. V. Chen |
| title |
A note on regular rings with stable range one |
| title_short |
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_sort |
note on regular rings with stable range one |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/S0161171202109021 |
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