Exchange rings satisfying the n-stable range condition, II

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	Exchange rings satisfying the n-stable range condition, II
	Chen, HY ; Li, FA
	2003-03-01
发表期刊	ALGEBRA COLLOQUIUM
ISSN	1005-3867
卷号	10 期号:1 页码:1-8
摘要	This is a continuation of the paper [14]. It is shown that any finite subdirect product of exchange rings satisfying the n-stable range condition is still an exchange ring satisfying the n-stable range condition. Furthermore, we give necessary and sufficient conditions on matrices over an exchange ring R, under which R satisfies the n-stable range condition. This generalizes the corresponding results for unit-regular rings and the stable range one condition.
关键词	exchange ring n-stable range condition
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000181761400001
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18176
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.Zhejiang Normal Univ, Dept Math, Zhengzhou 321004, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, HY,Li, FA. Exchange rings satisfying the n-stable range condition, II[J]. ALGEBRA COLLOQUIUM,2003,10(1):1-8.
APA	Chen, HY,&Li, FA.(2003).Exchange rings satisfying the n-stable range condition, II.ALGEBRA COLLOQUIUM,10(1),1-8.
MLA	Chen, HY,et al."Exchange rings satisfying the n-stable range condition, II".ALGEBRA COLLOQUIUM 10.1(2003):1-8.