Exchange rings having stable range one
We investigate the sufficient conditions and the necessary conditions on an exchange ring R under which R has stable range one. These give nontrivial generalizations of Theorem 3 of V. P. Camillo and H.-P. Yu (1995), Theorem 4.19 of K. R. Goodearl (1979, 1991), Theorem 2 of R. E. Hartwig (1982), and...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120100552X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849685248973996032 |
|---|---|
| author | Huanyin Chen |
| author_facet | Huanyin Chen |
| author_sort | Huanyin Chen |
| collection | DOAJ |
| description | We investigate the sufficient conditions
and the necessary conditions on an exchange ring R under
which R has stable range one. These give nontrivial
generalizations of Theorem 3 of V. P. Camillo and H.-P. Yu (1995),
Theorem 4.19 of K. R. Goodearl (1979, 1991),
Theorem 2 of R. E. Hartwig (1982), and Theorem 9 of H.-P. Yu (1995). |
| format | Article |
| id | doaj-art-b935875aaeba4ac59c0f1c7d4c74ee2b |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b935875aaeba4ac59c0f1c7d4c74ee2b2025-08-20T03:23:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251276377010.1155/S016117120100552XExchange rings having stable range oneHuanyin Chen0Department of Mathematics, Hunan Normal University, Changsha 410006, ChinaWe investigate the sufficient conditions and the necessary conditions on an exchange ring R under which R has stable range one. These give nontrivial generalizations of Theorem 3 of V. P. Camillo and H.-P. Yu (1995), Theorem 4.19 of K. R. Goodearl (1979, 1991), Theorem 2 of R. E. Hartwig (1982), and Theorem 9 of H.-P. Yu (1995).http://dx.doi.org/10.1155/S016117120100552X |
| spellingShingle | Huanyin Chen Exchange rings having stable range one International Journal of Mathematics and Mathematical Sciences |
| title | Exchange rings having stable range one |
| title_full | Exchange rings having stable range one |
| title_fullStr | Exchange rings having stable range one |
| title_full_unstemmed | Exchange rings having stable range one |
| title_short | Exchange rings having stable range one |
| title_sort | exchange rings having stable range one |
| url | http://dx.doi.org/10.1155/S016117120100552X |
| work_keys_str_mv | AT huanyinchen exchangeringshavingstablerangeone |