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| The Non-Singularity and Regularity of GP-Vˊ-Rings | |
| 基金项目： | 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) |
| 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. |
| 关 键 词： | GP-Vˊ-rings quasi ZI-rings MELT(MERT)rings weakly regular rings generalized regular rings. |
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