| 偏序半群的左基 |
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| 引用本文： | 谢祥云,赵宪钟.偏序半群的左基[J].纯粹数学与应用数学,1996,12(2):73-77. |
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| 作者姓名： | 谢祥云 赵宪钟 |
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| 作者单位： | [1]五邑大学 [2]西北大学 |
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| 摘 要： | 引入偏序半群左基的的概念，给出了一个偏序半群左基的存在性与极大左理想之间的关系。最后还讨论了在什么情况下左基的存在能导出基的存在性。作为应用，本文中所有结论在一靓半群中均成立。
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| 关 键 词： | 左理想 偏序半群 左基 右理想 半群 |
ON LEFT BASES IN ORDERED SEMIGROUPS |
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| Xie Xiangyun.ON LEFT BASES IN ORDERED SEMIGROUPS[J].Pure and Applied Mathematics,1996,12(2):73-77. |
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| Authors: | Xie Xiangyun |
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| Abstract: | The concepts of left bases (resp. bases) of an ordered semigroups are introduced The existence theorems of left bases of an ordered semigroup S and the relationship between left bases and maximal left ideals of S are characterized Finally, we prove that if S contains left bases A and A is finite, then S contains the bases The corresponding results on semigroups without order are obtained as an application of the results of this paper in the way indicated in |
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| Keywords: | left ideal po semigroup left bases bases C class |
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