On ideals of regular rings
文献类型：期刊论文
| 作者 | Chen, HY; Li, FA |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2002-04-01 |
| 卷号 | 18期号:2页码:347-356 |
| 关键词 | regular ring comparability stable range one Roth's problem |
| ISSN号 | 1439-8516 |
| 英文摘要 | In this paper, we investigate ideals of regular rings and give several characterizations for an ideal to satisfy the comparability. In addition, it is shown that, if I is a minimal two-sided ideal of a regular ring R, then I satisfies the comparability if and only if I is separative. Furthermore, we prove that, for ideals with stable range one, Roth's problem has an affirmative solution. These extend the corresponding results on unit-regularity and one-sided unit-regularity. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000175594200015 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17585]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, HY |
| 作者单位 | 1.Hunan Normal Univ, Dept Math, Changsha 410006, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, HY,Li, FA. On ideals of regular rings[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2002,18(2):347-356. |
| APA | Chen, HY,&Li, FA.(2002).On ideals of regular rings.ACTA MATHEMATICA SINICA-ENGLISH SERIES,18(2),347-356. |
| MLA | Chen, HY,et al."On ideals of regular rings".ACTA MATHEMATICA SINICA-ENGLISH SERIES 18.2(2002):347-356. |
入库方式： OAI收割
来源：数学与系统科学研究院
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