| 关于序半群左整除序关系的链(英文) |
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| 引用本文： | 杜院录,王长乐,贾利新. 关于序半群左整除序关系的链(英文)[J]. 河南科学, 2009, 0(5) |
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| 作者姓名： | 杜院录 王长乐 贾利新 |
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| 作者单位： | 1. 信息工程大学理学院,数理系,郑州,450001
2. 信息工程大学,电子技术学院,郑州,450004 |
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| 摘 要： | 介绍了左△-序半群和完全左同余的概念,给出了左整除序关系的链的性质.最后,证明了带有左整除序关系的链的零半群是左△-序半群.
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| 关 键 词： | 序半群 L-平凡的 左整除 左同余 完全左同余 左△-序半群 |
On Chain of Left Divisibility Ordering Relation in Ordered Semigroups |
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| Du Yuanlu,Wang Changle,Jia Lixin. On Chain of Left Divisibility Ordering Relation in Ordered Semigroups[J]. Henan Science, 2009, 0(5) |
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| Authors: | Du Yuanlu Wang Changle Jia Lixin |
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| Affiliation: | 1.Department of Applied Mathematics and Physics;Institute of Sciences;Information Engineering University;Zhengzhou 450001;China;2.Institute of Electronic Technology;Zhengzhou 450004;China |
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| Abstract: | In this paper, the concepts of left △-ordered sernigroups and complete left congruences are introduced and some properties which left divisibility ordering relation form a chain are given. We finally prove that the nil ordered semigroups which are chains with respect to the divisibility ordering are left △-ordered semigroups. |
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| Keywords: | ordered semigroup L-trivial left divisibility left congruence complete left congruence |
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