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The Non-Singularity and Regularity of GP-Vˊ-Rings 被引量：7

The Non-Singularity and Regularity of GP-Vˊ-Rings
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摘要 In this paper,we introduce a non-trivial generalization of ZI-rings-quasi ZI-rings.A ring R is called a quasi ZI-ring,if for any non-zero elements a,b ∈ R,ab = 0 implies that there exists a positive integer n such that an = 0 and anRbn = 0.The non-singularity and regularity of quasi ZI,GP-Vˊ-rings are studied.Some new characterizations of strong regular rings are obtained.These effectively extend some known results. In this paper,we introduce a non-trivial generalization of ZI-rings-quasi ZI-rings.A ring R is called a quasi ZI-ring,if for any non-zero elements a,b ∈ R,ab = 0 implies that there exists a positive integer n such that an = 0 and anRbn = 0.The non-singularity and regularity of quasi ZI,GP-Vˊ-rings are studied.Some new characterizations of strong regular rings are obtained.These effectively extend some known results.
作者 Xiao Bin YIN Rui WANG Xiao Long LI
机构地区 College of Mathematics and Computer Science
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第6期1003-1008,共6页 数学研究与评论（英文版）
基金 Supported by the National Natural Science Foundation of China (Grant Nos.10871106 10901002 10971099) the Natural Science Foundation of Anhui Provincial Education Committee (Grant No.KJ2008A026)
关键词 GP-Vˊ-rings quasi ZI-rings MELT（MERT）rings weakly regular rings generalized regular rings. GP-Vˊ-rings quasi ZI-rings MELT（MERT）rings weakly regular rings generalized regular rings.
分类号 O151.21 [理学—基础数学] TS934.3 [轻工技术与工程]
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参考文献18

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同被引文献19

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二级引证文献1

Journal of Mathematical Research and Exposition
2011年 第6期

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