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单调压缩部分变换半群的秩 被引量：4

On the Rank of Certain Semigroups of Monotone and Compressing Partial Transformations
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摘要 设X_n={1,2,...,n}(n>4)并赋予自然序,MCP_n是X_n上的单调压缩部分变换半群,我们证明了MCP_n的秩为2n-1. Let Xn={1,2,…,n}（n≥4） be natural order set. MCPn be semigroup of the monotone and compress-ing partial transformations. We have proved that rank of semigroup MCPnis 2n-1 .
作者 高荣海
机构地区 贵州师范大学学报编辑部 贵州师范大学数学与计算机科学学院
出处 《常熟理工学院学报》 2013年第2期35-38,共4页 Journal of Changshu Institute of Technology
关键词 单调 压缩 部分变换半群 秩 monotone compressing partial transformation semigroup rank
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献9

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  • 6徐波,冯荣权,高荣海.一类变换半群的秩[J].数学的实践与认识,2010,40(8):222-224. 被引量：50
  • 7高荣海,徐波.关于保序压缩奇异变换半群的秩[J].山东大学学报（理学版）,2011,46(6):4-7. 被引量：33
  • 8高荣海,徐波.降序严格部分变换半群的幂等元秩[J].河南师范大学学报（自然科学版）,2010,38(6):4-7. 被引量：4
  • 9高荣海,徐波.降序有限部分变换半群的幂等元秩[J].西南大学学报（自然科学版）,2008,30(8):9-12. 被引量：20

二级参考文献37

  • 1李映辉,王守峰,张荣华.含正则*-断面的正则半群(英文)[J].西南师范大学学报（自然科学版）,2006,31(5):52-56. 被引量：10
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共引文献63

同被引文献34

  • 1Gomes G M, Howie J M. On the ranks of certain semigroup of order-preserving transformations[J]. Semigroup Forum, 1992, 45(3):272-282.
  • 2Vitor H Fernandes. The monoid of all injective order preserving partial transformations on a finite chain[J]. Semigroup forum, 2001,62(1): 178-204.
  • 3Sommanee W, Sanwong J. Rank and idempotent rank of finite full transformation semigroups with restricted range[J]. Semigroup Fo-rum, 2013, 87(1): 230-242.
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  • 5Fernandes V H. The monoid of all injective order preserving partial transformation on a finite chain[J].SEMIGROUP FORUM,2001,(02):178-204.
  • 6Fernandes V H. The monoid of all injective orientation preserving partial transformations on a finite chain[J].COMMUNICATIONS IN ALGEBRA,2000,(07):3401-3426.
  • 7Zhao P. On the ranks of certain semigroups of orientation preserving transformations[J].COMMUNICATIONS IN ALGEBRA,2011,(11):4195-4205.
  • 8Howie J M. An Introduction to Semigpoup Theory[M].London:London Academic Press,1976.
  • 9Gomes G M S, Howie J M. On the ranks of certain semig- roups of order - preserving transformations [ J ]. Semig- roups Forum, 1992,45 ( 1 ) : 272-282.
  • 10Garba G U. On the idempotent ranks of certain semigroups of order - preserving transformations [ J ]. Portugal Math, 1994,51 : 185-204.

引证文献4

二级引证文献10

常熟理工学院学报
2013年 第2期

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