| 保整除保序有限变换半群DO_n的Green关系及其正则元 |
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| 引用本文： | 陈先军.保整除保序有限变换半群DO_n的Green关系及其正则元[J].嘉应学院学报,2010,28(11):8-12. |
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| 作者姓名： | 陈先军 |
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| 作者单位： | 嘉应学院学报编辑部,广东梅州514015 |
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| 摘 要： | 设Xn={1,2,…,n}是有限全序集,Tn是有限集Xn上的全变换半群,易知它的子集TD(Xn)={α∈Tn:x∈Xn,x|n→ xα|n}是Tn上的一个子半群,称之为保整除变换半群,令DOn={α∈TD(Xn):x,y∈Xn,x≤y→xα≤yα},则DOn是TD(Xn)的一个子半群,称之为保整除保序有限变换半群,在此刻划了DOn的Green关系和正则元。
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| 关 键 词： | 变换半群 保整除 保序 Green关系 正则元 |
Regularity and Green's Relations for Finite Semigroups of Transformations Preserving Divisible and Orientation |
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| CHEN Xian-jun.Regularity and Green's Relations for Finite Semigroups of Transformations Preserving Divisible and Orientation[J].Journal of Jiaying University,2010,28(11):8-12. |
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| Authors: | CHEN Xian-jun |
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| Institution: | CHEN Xian-jun(Editorial Department of Journal,Jiaying University,Meizhou 514015,China) |
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| Abstract: | Let Xn ={1,2,…,n}be a finite totally ordered set and TD（Xn）={α∈Tn：x∈Xn,x｜n→xα｜n} is a finite transformation semigroup preserving divisible on it.Let DOn={α∈TD（Xn）：x,y∈Xn,x≤y→xa≤yα}then DOn is a subsemigroup of TD（Xn）.This paper describes Green＇s relations and regular element for DOn. |
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| Keywords: | transformation semigroup preserving divisible preserving orientation Green＇s relations regularity of elements |
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