On *-clean group rings over abelian groups
文献类型：期刊论文
| 作者 | Han, Dongchun1; Ren, Yuan2; Zhang, Hanbin3 |
| 刊名 | JOURNAL OF ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2017-08-01 |
| 卷号 | 16期号:8页码:11 |
| 关键词 | Group ring *-clean ring Galois group idempotent |
| ISSN号 | 0219-4988 |
| DOI | 10.1142/S0219498817501523 |
| 英文摘要 | An associative ring with unity is called clean if each of its elements is the sum of an idempotent and a unit. A clean ring with involution * is called *-clean if each of its elements is the sum of a unit and a projection (*-invariant idempotent). In a recent paper, Huang, Li and Yuan provided a complete characterization that when a group ring F(q)C(p)k is *-clean, where F-q is a finite field and C(p)k is a cyclic group of an odd prime power order p(k). They also provided a necessary condition and a few sufficient conditions for FqCn to be *-clean, where C-n is a cyclic group of order n. In this paper, we extend the above result of Huang, Li and Yuan from F(q)C(p)k to FG and provide a characterization of *-clean group rings FG, where G is a finite abelian group and F is a field with characteristic not dividing the exponent of G. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000403428300012 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25584]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Han, Dongchun |
| 作者单位 | 1.Southwest Jiaotong Univ, Dept Math, Chengdu 610000, Peoples R China 2.Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Dongchun,Ren, Yuan,Zhang, Hanbin. On *-clean group rings over abelian groups[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS,2017,16(8):11. |
| APA | Han, Dongchun,Ren, Yuan,&Zhang, Hanbin.(2017).On *-clean group rings over abelian groups.JOURNAL OF ALGEBRA AND ITS APPLICATIONS,16(8),11. |
| MLA | Han, Dongchun,et al."On *-clean group rings over abelian groups".JOURNAL OF ALGEBRA AND ITS APPLICATIONS 16.8(2017):11. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。