| Abel正则球与完全正则半群 |
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| 引用本文： | 熊蕙萍.Abel正则球与完全正则半群[J].数学研究,1996,29(1):34-37. |
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| 作者姓名： | 熊蕙萍 |
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| 作者单位： | 南昌大学数学系 |
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| 摘 要： | 本文分别讨论了关于结合环和半群的二个定理，并且由结合环的这二个定理推出了如下准则：结合环Ｒ是Ａｂｅｌ正则的，当且仅当Ｒ的每个拟理想是正则环．
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| 关 键 词： | 正则环，Abel正则环，正则半群，完全正则半群 |
Abelian Regular Rings And Completely Regular Semigroups |
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| Xiong Huiping.Abelian Regular Rings And Completely Regular Semigroups[J].Journal of Mathematical Study,1996,29(1):34-37. |
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| Authors: | Xiong Huiping |
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| Institution: | Department of Mathematics of Nanchang University |
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| Abstract: | In this paper,we prove two theorems for an associative ring and a semigroup respectively,From the theorems for an associative ring, we imply the following criterion:An associatve ring R is Abelian regular if and only if every qusi-ideal Q of R is a regular ring. |
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| Keywords: | Regular ring Abelian regular ring Regular semigroup completely regular semigroup |
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