| 序半群的左平凡Green’s关系 |
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| 引用本文： | 祝清顺,青天福,贾利新. 序半群的左平凡Green’s关系[J]. 河南科学, 2009, 27(1): 22-24 |
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| 作者姓名： | 祝清顺 青天福 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： | 在序半群的分解理论中，Green’s关系扮演着重要的角色．引入了序半群中L-平凡的概念，给出了每一个序半群是L-平凡的充分必要条件是左整除关系为S上的偏序关系．特别地，我们还讨论了序零半群，给出了这类半群与偏序半群上的左整除关系链的关系．
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| 关 键 词： | 偏序半群 L-平凡的 左整除 左同余 完全左同余 序零半群 |
On L-Trivial Green'S Relations in Ordered Semigroups |
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| Zhu Qingshun,Qing Tianfu,Jia Lixin. On L-Trivial Green'S Relations in Ordered Semigroups[J]. Henan Science, 2009, 27(1): 22-24 |
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| Authors: | Zhu Qingshun Qing Tianfu Jia Lixin |
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| Affiliation: | 1. Department of Applied Mathematics and Physics Institute of Sciences;Information Engineering University;Zhengzhou 450001;China;2. Electronic Technology Institute;Zhengzhou 450004;China |
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| Abstract: | In the decompositions theory of ordered semigroups,an important role is played by the Green’s relations. In the paper we introduce the concepts of L-trivial,nil ordered semigroups and give every ordered semigroup is L-trivial if and only if the left divisibility relation is an order. In particular,we study the relationship of nil-ordered semigroups and the left divibility relation is a chain. |
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| Keywords: | ordered semigroup L-trivial left divibility left congruence complete left congruence nil ordered semigroup |
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