| 半群 POIn,r的秩 |
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| 引用本文： | 腾,文.半群 POIn,r的秩[J].常熟理工学院学报,2014(2):28-31. |
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| 作者姓名： | 腾 文 |
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| 作者单位： | 贵州财经大学数学与统计学院,贵州贵阳550025 |
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| 摘 要： | 设 Xn={1,2,…,n}（n＞3）并赋予自然序。 POIn为 Xn上的保序部分一一变换半群，引入一类新的POIn的子半群POIn,r ，讨论了半群POIn,r的生成秩，所得结果推广了有关文献中相应的结论。
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| 关 键 词： | 部分保序一一变换 半群 秩 |
On the Rank of the Semigroup POIn,r |
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| TENG Wen.On the Rank of the Semigroup POIn,r[J].Journal of Changshu Institute of Technology,2014(2):28-31. |
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| Authors: | TENG Wen |
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| Institution: | TENG Wen(School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China) |
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| Abstract: | Let Xn={1,2,…,n}（n〉3） be natural order set. POIn be of all injective order-preserving partial trans-formation semigroup on Xn . We introduced a new class subsemigroups POIn,r of semigroup POIn . The generat-ed rank of the semigroup POIn,r was characterized. The theorem is an extension of corresponding conclusions for other relevant literature. |
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| Keywords: | all injective order-preserving partial transformation semigroup rank |
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