| 关于1类单调压缩奇异变换半群的秩 |
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| 引用本文： | 高荣海.关于1类单调压缩奇异变换半群的秩[J].河南师范大学学报(自然科学版),2013,41(5):19-22. |
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| 作者姓名： | 高荣海 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵阳550001;贵州师范大学学报编辑部,贵阳550001 |
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| 基金项目： | 国家自然科学基金，贵州省科技基金资助项目(黔科合J字LKS |
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| 摘 要： | 设Xn={1,2,…,n}(n≥4)并赋予自然序,MCn是Xn上的单调压缩奇异变换半群,Ir*={α∈MCn:|imα|≤r}(1≤r≤n-1)是MCn的理想,证明了当r=1时,rankIr*=n;当r>1时,rankIr*=Cr-1n-1.
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| 关 键 词： | 单调 压缩 奇异变换半群 秩 |
On the Rank of Certain Semigroups of Monotone and Compressing Singular Transformations |
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| GAO Ronghai.On the Rank of Certain Semigroups of Monotone and Compressing Singular Transformations[J].Journal of Henan Normal University(Natural Science),2013,41(5):19-22. |
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| Authors: | GAO Ronghai |
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| Institution: | GAO Ronghai;School of Mathematics and Computer Science,Guizhou Normal University;Editorial Department of Journal,Guizhou Normal University; |
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| Abstract: | Let Xn ={1,2,…,n}(n≥4)be natural order set.MCn be semigroup of the monotone and compressing singular transformations,Ir*={α∈MCn :|imα|≤r}(1≤r≤n-1)be ideals of MCn.It is shown that rank(Ir*)=nand rank(Ir*)= Cr-1n-1 when r=1and r>1respectively. |
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| Keywords: | monotone compressing singular transformation semigroup rank |
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