Exchange rings having ideal-stable range one

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	Exchange rings having ideal-stable range one
	Chen, HY ; Li, F
	2001-05-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	44 期号:5 页码:579-586
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.
关键词	exchange ring stable range condition diagonal reduction
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000169134700005
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16175
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.