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一类降序变换半群的秩 被引量：1

On the ranks of certain semigroups of order-decreasing transformations
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摘要 设自然数n≥3,Xn={1,2,…,n},证明了Xn上的一类降序变换半群Fn的理想Im#={α∈Fn:︱im(α)︱≤m}的秩rank(Im#)=(n-1 m-1). Let n≥3,Xn={1,2,…,n} ,in this paper the ranks of the ideals Im#={α∈Fn：︱im（α）︱≤m}of certain semigroups of order-decreasing transformations on Xn is proved to be （n-1 m-1）.
作者 李俊扬
机构地区 贵州师范大学数学与计算机科学学院
出处 《贵州师范大学学报（自然科学版）》 CAS 2012年第4期69-70,120,共3页 Journal of Guizhou Normal University：Natural Sciences
基金 贵州省科学技术基金资助项目(黔科合J字LKS[2010]03号)
关键词 降序 保序 压缩变换半群 秩 order-decreasing order-preserving compression transformation semigroup rank
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献19

  • 1Barnes G and Levi I. On idempotent ranks of semigroups of partial transformations[J]. Semigroup Forum, 2005(70): 81-96.
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共引文献51

同被引文献12

  • 1G. M. S. Gomes, J. M. Howie. On the Ranks of Certain Semigroups of Order-Preserving Transformations [ J ]. Semigroup Forum, 1992,45 ( 1 ) :272- 282.
  • 2G. U. Garba. On the Idempotent Ranks of Certain Semigroups of Order-Preserving Transformations[ J ]. Portugaliae Mathematica, 1994,51 (2) :185 - 204.
  • 3A. Umar. On the Semigroups of Order-Decreasing Finite Full Transformations [ J ]. Proceedings of the Royal Society of Edinburgh:Sect A Math, 1992,120 : 129 - 142.
  • 4A. Umar. On the Ranks of Certain Finite Semigroups of Order-Decreasing Transformations[ J ]. Portugaliae Mathematica, 1996,53 ( 1 ) :23 - 34.
  • 5A. Laradji, A. Umar. On certain finite semigruups of order-decreasing transformations [ J ]. Semigroup Forum,2004,69 ( 2 ) : 184 - 200.
  • 6J. M. Howie, N. Ruskuc, P. M. Higgins. On Relative Ranks of Full Transformation Semigroups[ J]. Communication in Algebra, 1998,26 (3) :733- 748.
  • 7J. B. Fountain. Abundant Semigroups [ J ]. Proc London Math soc, 1982,44 ( 3 ) : 103 - 129.
  • 8J. M. Howie. Fundamentals of Semigroup Theory[ M]. Oxford:Oxford University Press,1995.
  • 9O. Ganyushkin, V. Mazorchuk. Classical Finite Transformation Semigroups [ M ]. London : Springer-Vedag, 2009.
  • 10N. Ruskuc. Semigroup Presentations[ D ]. St Andrews: university of St Andrews, 1995.

引证文献1

贵州师范大学学报（自然科学版）
2012年 第4期

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