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Exchange rings having ideal-stable range one
Chen, HY; Li, F
2001-05-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN1006-9283
Volume44Issue:5Pages:579-586
AbstractIn 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.
Keywordexchange ring stable range condition diagonal reduction
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000169134700005
PublisherSCIENCE PRESS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16175
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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