|
|||||
|
|
| 保持两个等价关系的变换半群的Green关系 | |
| 引用本文： | 孙垒,裴惠生. 保持两个等价关系的变换半群的Green关系[J]. 数学研究及应用, 2009, 29(3): 415-422. DOI: 10.3770/j.issn:1000-341X.2009.03.005 |
| 作者姓名： | 孙垒 裴惠生 |
| 作者单位： | 河南理工大学数学与信息科学学院, 河南 焦作 454000; 西安交通大学理学院, 陕西 西安 710049;信阳师范学院数学系, 河南 信阳 464000 |
| 基金项目： | 河南省自然科学基金(No.0511010200); 河南理工大学博士基金(No.B2009-56); 河南省教育厅自然科学基金(No.2009A110007). |
| 摘 要： | Let Tx be the full transformation semigroup on a set X. For a non-trivial equivalence F on X, let TF（X） = {f ∈ Tx ： arbieary （x, y） ∈ F, （f（x）,f（y）） ∈ F}. Then TF（X） is a subsemigroup of Tx. Let E be another equivalence on X and TFE（X） = TF（X） ∩ TE（X）. In this paper, under the assumption that the two equivalences F and E are comparable and E lohtain in F, we describe the regular elements and characterize Green＇s relations for the semigroup TFE（X）. |
| 关 键 词： | 等价关系 变换半群 聚四氟乙烯 得克萨斯州 格林关系 金融 电子 |
| 收稿时间： | 2007-03-31 |
| 修稿时间： | 2008-10-06 |
Green's Relations on Semigroups of Transformations Preserving Two Equivalence Relations |
|
| SUN Lei and PEI Hui Sheng. Green's Relations on Semigroups of Transformations Preserving Two Equivalence Relations[J]. Journal of Mathematical Research with Applications, 2009, 29(3): 415-422. DOI: 10.3770/j.issn:1000-341X.2009.03.005 | |
| Authors: | SUN Lei and PEI Hui Sheng |
| Affiliation: | School of Mathematics and Information Science, Henan Polytechnic University, Henan 454000, China; School of Sciences, Xi'an Jiaotong University, Shaanxi 710049, China;Department of Mathematics, Xinyang Normal University, Henan 464000, China |
| Abstract: | Let ${cal T}_X $ be the full transformation semigroup on a set $X$. For a non-trivial equivalence $F$ on $X$, let $T_F (X) ={ fin {cal T}_X : forall , (x,y)in F,,(f(x),f(y))in F }.$ Then $T_F(X) $ is a subsemigroup of ${cal T}_ X $. Let $E$ be another equivalence on $X$ and $T_{FE}(X)=T_F(X)cap T_E(X)$. In this paper, under the assumption that the two equivalences $F$ and $E$ are comparable and $Esubseteq F$, we describe the regular elements and characterize Green's relations for the semigroup $T_{FE}(X)$. |
| Keywords: | transformation semigroup equivalence regular element Green's relations. |
| 本文献已被 维普 万方数据 等数据库收录！ | |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 | |
| 点击此处可从《数学研究及应用》下载全文 | |