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保序部分变换半群PO_n的平方幂等元 被引量：6

The quasi-idempotent of partial order-preserving transformation
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摘要 设POn是[n]上的保序部分变换半群.对n≥3,证明了半群POn的秩为n-1的平方幂等元的个数为4n-6,同时,还证明了半群POn是秩为n-1的平方幂等元生成的,且其秩为2n-1. Let POnbe the partial order-preserving semigroup on [n].It is shown that for n≥3,the number of quasi-idempotent of rank n-1of POnis 4n-6,at the same time,we also prove that the semigroup POnis quasi-idempotent generated,with the rank is 2n-1.
作者 吴江燕 游泰杰
机构地区 贵州师范大学数学与计算机科学学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2015年第1期6-11,共6页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11461014) 贵州省自然科学技术基金资助项目(黔科合J字[2007]2008号)
关键词 保序部分变换半群 幂等元 平方幂等元 平方幂等元秩 partial order-preserving transformation semigroup idempotent quasi-idempotent quasi-idempotent rank
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献9

  • 1GOMES G M S, HOWlE J M. On the ranks of certain semigroups of order-preserving transformations[J]. Semigroup Forum, 1992,45 : 272-282.
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二级参考文献17

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共引文献7

同被引文献34

  • 1高荣海,徐波,曾吉文.定点保距部分一一变换半群（英文）[J].兰州大学学报（自然科学版）,2018,54(6):836-840. 被引量：3
  • 2HaoBoYANG XiuLiangYANG.Maximal Subsemigroups of Finite Transformation Semigroups K(n,r)[J].Acta Mathematica Sinica,English Series,2004,20(3):475-482. 被引量：19
  • 3UMAR A.On the semigroup of partial one-one order-decreasing finite transformation[J].Proc Roy Soc Edinburgh,123A 1993:355-363.
  • 4MADU B A,GARBA G U.Quasi-idempotents in finite semigroups of order-preserving charts[J].Research Journal of Science,2001(7):61-64.
  • 5HOWIE J M.An introduction to semigroup theory[M].London:Academic Press,1976.
  • 6FERNANDES V H,GOMES G M S,JESUS M M.Congruences on monoids of order-preserving or order-reversing transformations on a finite chain[J].Glasgow Math J,2005(47):413-424.
  • 7IMAM A T. Subsemigroups generated by quasi-idempo- tents in certain finite semi-groups of mappings I D/OL~. Nigeria: Ahmadu Bello University Zaria ,2013.
  • 8MADU B A. Quasi-idempotents and quasi-nilpotents in fi- nite transformations semi - groups [ D/OL ]. Nigeria: Ah- madu Bello University Zaria, 1999.
  • 9HOWIE J M.The subsemigroup generated by the idempotents of a full transformation semigroup[J].J London Math Soc,1966,1(1):707-716.
  • 10KEARNES K A,SZENDREI A,WOOD J.Generating singular transformations[J].Semigroup Forum,2001,63(3):441-448.

引证文献6

二级引证文献8

东北师大学报（自然科学版）
2015年 第1期

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