Unit 1-stable range for ideals
We investigate necessary and sufficient conditions under which a ring satisfies unit 1-stable range for an ideal. As an application, we prove that R satisfies unit 1-stable range for I if and only if QM2(R) satisfies unit 1-stable range for QM2(I).
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| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204402361 |
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| _version_ | 1832554823407370240 |
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| author | Huanyin Chen Miaosen Chen |
| author_facet | Huanyin Chen Miaosen Chen |
| author_sort | Huanyin Chen |
| collection | DOAJ |
| description | We investigate necessary and sufficient conditions
under which a ring satisfies unit 1-stable range
for an ideal. As an application, we prove that R
satisfies unit 1-stable range for I if and only
if QM2(R) satisfies unit 1-stable range for
QM2(I). |
| format | Article |
| id | doaj-art-1e0ea977d3d4451d97348ca18877ce05 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1e0ea977d3d4451d97348ca18877ce052025-02-03T05:50:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004462477248210.1155/S0161171204402361Unit 1-stable range for idealsHuanyin Chen0Miaosen Chen1Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaWe investigate necessary and sufficient conditions under which a ring satisfies unit 1-stable range for an ideal. As an application, we prove that R satisfies unit 1-stable range for I if and only if QM2(R) satisfies unit 1-stable range for QM2(I).http://dx.doi.org/10.1155/S0161171204402361 |
| spellingShingle | Huanyin Chen Miaosen Chen Unit 1-stable range for ideals International Journal of Mathematics and Mathematical Sciences |
| title | Unit 1-stable range for ideals |
| title_full | Unit 1-stable range for ideals |
| title_fullStr | Unit 1-stable range for ideals |
| title_full_unstemmed | Unit 1-stable range for ideals |
| title_short | Unit 1-stable range for ideals |
| title_sort | unit 1 stable range for ideals |
| url | http://dx.doi.org/10.1155/S0161171204402361 |
| work_keys_str_mv | AT huanyinchen unit1stablerangeforideals AT miaosenchen unit1stablerangeforideals |