Exchange rings having ideal-stable range one
文献类型：期刊论文
| 作者 | Chen, HY; Li, F |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2001-05-01 |
| 卷号 | 44期号:5页码:579-586 |
| ISSN号 | 1006-9283 |
| 关键词 | exchange ring stable range condition diagonal reduction |
| 英文摘要 | In this paper, we introduce the notion of the ideal-stable range one condition for exchange rings. Some characterizations for this condition are given. Moreover, we show that, for an exchange ring R, if I is an ideal of R and R has I-stable range one, then every regular square matrix over I is the product of an idempotent matrix and an invertible matrix over R, and admits a diagonal reduction. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SCIENCE PRESS |
| WOS记录号 | WOS:000169134700005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16174]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, F |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Hunan Normal Univ, Dept Math, Changsha 410006, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, HY,Li, F. Exchange rings having ideal-stable range one[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2001,44(5):579-586. |
| APA | Chen, HY,&Li, F.(2001).Exchange rings having ideal-stable range one.SCIENCE IN CHINA SERIES A-MATHEMATICS,44(5),579-586. |
| MLA | Chen, HY,et al."Exchange rings having ideal-stable range one".SCIENCE IN CHINA SERIES A-MATHEMATICS 44.5(2001):579-586. |
入库方式： OAI收割
来源：数学与系统科学研究院
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