| 准正则环和强正则环 |
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| 引用本文： | 黎奇升.准正则环和强正则环[J].吉首大学学报(自然科学版),1996,17(2):50-53. |
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| 作者姓名： | 黎奇升 |
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| 作者单位： | 吉首大学数学系!湖南吉首416000 |
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| 摘 要： | 本文中证明了如下主要结果：1对于准正则环R，下面条件是等价的：（1）R是强正则环；（2）R是约化的；（3）R是半交换环；（4）R是左双环；（5）R的幂等元都是中心幂等元．2R是强正则的当且仅当R的不分解南环是拟左（右）duo准正规的．
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| 关 键 词： | 半准正则环 准正则环 强正则环 V环 VonNeumann正则环 |
On Quasi-Regular and Strong-Regular Rings |
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| Li Qisheng..On Quasi-Regular and Strong-Regular Rings[J].Journal of Jishou University(Natural Science Edition),1996,17(2):50-53. |
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| Authors: | Li Qisheng |
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| Institution: | Li Qisheng.(Degt. of Math. Jichou Un-r8ity 416o()o) |
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| Abstract: | In this paper,We prove the following main resu1ts:l. For a quasi-regular ring R,the following conditions are equivalent: (1)R is a strong- regular ring: (2)R is a reduced ring i (3)R is a semi -commutative ring l (4)R is left duo l(5)each idempotent of R is im the cehtre.2. A ring R is strong -regular if the imcompsable factor rings of R are Qrasi -regularand left qrasi -duo. |
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| Keywords: | Von Nuemann regular rings Quasi-regular rings V rings |
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