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On ideals of regular rings
Chen, HY; Li, FA
2002-04-01
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
Volume18Issue:2Pages:347-356
AbstractIn this paper, we investigate ideals of regular rings and give several characterizations for an ideal to satisfy the comparability. In addition, it is shown that, if I is a minimal two-sided ideal of a regular ring R, then I satisfies the comparability if and only if I is separative. Furthermore, we prove that, for ideals with stable range one, Roth's problem has an affirmative solution. These extend the corresponding results on unit-regularity and one-sided unit-regularity.
Keywordregular ring comparability stable range one Roth's problem
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000175594200015
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17586
Collection中国科学院数学与系统科学研究院
Affiliation1.Hunan Normal Univ, Dept Math, Changsha 410006, Peoples R China
2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Chen, HY,Li, FA. On ideals of regular rings[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2002,18(2):347-356.
APA Chen, HY,&Li, FA.(2002).On ideals of regular rings.ACTA MATHEMATICA SINICA-ENGLISH SERIES,18(2),347-356.
MLA Chen, HY,et al."On ideals of regular rings".ACTA MATHEMATICA SINICA-ENGLISH SERIES 18.2(2002):347-356.
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