| 半群W_n~-中星理想的相关秩 |
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| 引用本文： | 罗永贵.半群W_n~-中星理想的相关秩[J].吉林师范大学学报（自然科学版）,2014(3):87-89. |
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| 作者姓名： | 罗永贵 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵州贵阳550001 |
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| 基金项目： | 贵州省科学技术基金资助项目（黔科合J字LKS（2013）01号） |
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| 摘 要： | 设自然数n≥3,Wn-是有限链n]上具有降序性的保序且压缩奇异变换半群,对任意的r(1≤r≤n-1),记K*-(n,r)={α∈W-n:|Imα|≤r}为半群W-n的双边星理想.通过对秩为r的元素和星格林关系的分析,确定了当1≤lr时,半群K*-(n,r)关于其星理想K*-(n,l)的相关秩.
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| 关 键 词： | 保序 压缩 降序 奇异变换半群 相关秩 |
On the Relative Rank of Each Star Ideal of the Semigroup W -n |
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| LUO Yong-guI.On the Relative Rank of Each Star Ideal of the Semigroup W -n[J].Jilin Normal University Journal(Natural Science Edition),2014(3):87-89. |
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| Authors: | LUO Yong-guI |
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| Institution: | LUO Yong-guI ( Department of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou) |
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| Abstract: | Let W be the semigroup of all order-preserving and compressing singular transformations with decreasing on a finite-chainn]if n≥3,and let K（n,r）={α∈W：｜Imα｜ ≤r}be the two-sided star ideal of the semigroups W for an arbitrary integer r if 1≤r≤n - 1. By analyzing the elements of rank r and star Greenˊs relations,the relative rank of the semigroups K（n,r）with respect to itself each star ideal K（n,r）is determined if 1≤l ＆lt; r. |
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| Keywords: | order-preserving compression decreasing singular transformation semigroup relative rank |
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