| 左正则Duo序半群的半格分解 |
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| 引用本文： | 施智杰.左正则Duo序半群的半格分解[J].高师理科学刊,2010,30(3). |
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| 作者姓名： | 施智杰 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127;西北大学,数学系,陕西,西安,710127 |
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| 摘 要： | 给出了序半群的一些基本性质,利用一系列等价命题对左正则Duo序半群进行了刻画,证明左正则Duo序半群是完全左正则左单且右单序半群半格.
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| 关 键 词： | 左正则序半群 Duo序半群 理想 左单(右单)序半群 |
On the decomposition of left regular Duo ordered semigroups |
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| SHI Zhi-jie.On the decomposition of left regular Duo ordered semigroups[J].Journal of Science of Teachers＇College and University,2010,30(3). |
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| Authors: | SHI Zhi-jie |
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| Institution: | SHI Zhi-jie1; 2 (1.Department of Mathematics; Northwest University; Xi an 710127; China; 2.School of Mathematics and Computer Science; Shanxi Datong University; Datong 037009; China); |
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| Abstract: | Some fundamental properties of the ordered semigroups was provided,the characterizations of left-regular and Duo ordered semigroups was given out by a series of equivalence propositions.Proved that the left-regular and Duo ordered semigroups are in accordance with a semi-lattice of left-regular and left simple and right simple sub-semigroups. |
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| Keywords: | left-regular ordered semigroup Duo ordered semigroup deal left simple（right simple）ordered semigroup |
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