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Exchange rings satisfying the n-stable range condition, II
Chen, HY; Li, FA
2003-03-01
Source PublicationALGEBRA COLLOQUIUM
ISSN1005-3867
Volume10Issue:1Pages:1-8
AbstractThis 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.
Keywordexchange ring n-stable range condition
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000181761400001
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18176
Collection中国科学院数学与系统科学研究院
Corresponding AuthorChen, HY
Affiliation1.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
Recommended Citation
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.
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