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一类保持等价关系的变换半群的正则性和格林关系 被引量：3

Regularity and Green's Relations for a Semigroup of Transformations Preserving an Equivalence Relation
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摘要 设X为非空集合,|X|>3,TX是X上的全变换半群.设E是X上的一个等价关系,TE(X)是由等价关系E所决定的TX的子半群,满足(x,y)∈E,(f(x),f(y))∈E.记T2(X)是TE(X)的一个子半群,满足f∈T2(X),|f(X)|≤2.讨论了半群T2(X)上的格林关系和正则元. Let X be a set with｜ X｜ 〉 3, Tx the full transformation semigroup on X,E an equivalence relation on X and TE（X） the subsemigroup of Tx determined by E which satisfies ∨ （x,y）∈ E, （f（x） ,f（y） ）∈ E. Let T2 （X） be a subsemigroup of Te（X） and ∨f∈ T2 （X） , ｜f（X）｜≤2. The Green＇ s relations and regular elements in the semigroup Tz （X） arc described and discussed.
作者 邓伟娜 裴惠生
机构地区 黄淮学院数学科学系 信阳师范学院数学与信息科学学院
出处 《信阳师范学院学报（自然科学版）》 CAS 北大核心 2012年第3期281-284,288,共5页 Journal of Xinyang Normal University(Natural Science Edition)
基金 国家自然科学基金项目(10971086) 河南省科技发展规划项目(122300410276)
关键词 半群 格林关系 正则 semigroups Green＇ s relations regular elements
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献8

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  • 7裴惠生,吴永福.保持两个等价关系的夹心半群的格林关系和正则性[J].信阳师范学院学报（自然科学版）,2008,21(2):161-164. 被引量：4
  • 8裴惠生,卢凤梅.一个变换半群的同余(英文)[J].信阳师范学院学报（自然科学版）,2011,24(3):281-286. 被引量：2

二级参考文献18

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共引文献4

同被引文献27

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引证文献3

二级引证文献1

信阳师范学院学报（自然科学版）
2012年 第3期

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