On cleanness of von Neumann algebras & nbsp;
文献类型：期刊论文
| 作者 | Cui, Lu1,4; Huang, Linzhe2; Wu, Wenming3; Yuan, Wei1,4; Zhang, Hanbin5 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2022-05-15 |
| 卷号 | 509期号:2页码:21 |
| 关键词 | Von Neumann algebras Clean rings Idempotents Projections |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2021.125969 |
| 英文摘要 | A unital ring is called clean (resp. strongly clean) if every element can be written as the sum of an invertible element and an idempotent (resp. an invertible element and an idempotent that commutes). T.Y. Lam proposed a question: which von Neumann algebras are clean as rings? In this paper, we characterize strongly clean von Neumann algebras and prove that all finite von Neumann algebras and all separable infinite factors are clean. (C)& nbsp;2021 Elsevier Inc. All rights reserved. |
| 资助项目 | NFS of China[11971463] ; NFS of China[11871303] ; NFS of China[11871127] ; Chongqing Science and Technology Commission[cstc2019jcyj-msxmX0256] ; NSF of China[11901563] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000791947800032 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61378]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yuan, Wei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 3.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Cui, Lu,Huang, Linzhe,Wu, Wenming,et al. On cleanness of von Neumann algebras & nbsp; [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2022,509(2):21. |
| APA |
Cui, Lu,Huang, Linzhe,Wu, Wenming,Yuan, Wei,&Zhang, Hanbin.(2022). On cleanness of von Neumann algebras & nbsp; .JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,509(2),21. |
| MLA |
Cui, Lu,et al." On cleanness of von Neumann algebras & nbsp; ".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 509.2(2022):21. |
入库方式： OAI收割
来源：数学与系统科学研究院
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