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集合I到集合Λ上的二元关系半群P_θ(I×Λ)的生成集和Green-关系 被引量：6

Generating sets and Green's relations for semigroup P_θ ( I×Λ) of all binary relations from a set I to a set Λ
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摘要 设集合I,Λ是任意的非空集合.当θ=Λ'×I■Λ×I时,本文获得了半群Pθ(I×Λ)的非可解元和不可约生成集,并且给出了半群Pθ(I×Λ)的Green-关系,最后讨论了半群Pθ(I×Λ)的一些特殊计数. Let I,A be two arbitrary nonempty sets. Where θ=∧＇×I, the non-solvable elements and the irreducible generating sets of the semigroup Pθ（I×∧） are established; the Green＇s relations of the semigroup Pθ（I×∧）are obtained; some specific counts of the semigroup Pθ（I×∧） are discussed.
作者 林屏峰
机构地区 西南民族大学预科教育学院
出处 《西南民族大学学报（自然科学版）》 CAS 2010年第1期44-49,共6页 Journal of Southwest Minzu University(Natural Science Edition)
基金 西南民族大学青年项目(09NQN001)
关键词 半群 二元关系半群 非可解元 不可约生成集 Green.关系 semigroup semigroup of binary relations non-solvable element irreducible generating set Green＇s relation
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献12

  • 1PLEMMONS R J, WEST M T. On the semigroup of binary relations[J]. Pacific J Math, 1970, 35:743-753.
  • 2PLEMMONS R J, SCHEIN B M. Groups of binary relations[J]. Semigroup Forum,1970, 1: 267-271.
  • 3SCHWARZ S. On idempotent binary relations on a finite set[J]. Czech J Math,1970, 20: 696-702.
  • 4KONIECZNY J. Green's equivalences in finite semigroups of binary relations[J]. Semigroup Forum, 1994,48: 235-252.
  • 5KONIECZNY J. The semigroup generated by regular Boolean matrices[J]. South Asian Bull of Math, 2002, 25:627-641.
  • 6CHASE K. New semigroups of binary relations[J]. Semigroup Forum, 1979, 18: 79-82.
  • 7CHASE K. Sandwish semigroups of binary relations[J]. Discrete Math, 1979, 28:231-236.
  • 8CHASE K. Maximal groups in sandwish semigroups of binary relations[J]. Pacific J Math, 1982, 100: 43-59.
  • 9KIM KI HANG Boolean matrix theory and applications[M]. New York: Marcel Dekker, 1982.
  • 10林屏峰,徐波,张传军.集合I到集合Λ上的二元关系半群P_θ(I×Λ)的基本性质[J].贵州师范大学学报（自然科学版）,2007,25(3):72-77. 被引量：3

二级参考文献21

  • 1PLEMMONS R J, WEST M T. On the semigroup of binary relations[J]. Pacific J Math, 1970, 35: 743-753.
  • 2PLEMMONS R J, SCHEIN B M. Groups of binary relations[J]. Semigroup Forum,1970, 1: 267-271.
  • 3SCHWARZ S. On idempotent binary relations on a finite set[J]. Czech J Math, 1970, 20: 696-702.
  • 4KONIECZNY J. The semigroup generated by regular Boolean matrices[J]. South Asian Bull of Math, 2002, 25: 627-641.
  • 5KONIECZNY J. Green's equivalences in finite semigroups &binary relations[J]. Semigroup Forum, 1994,48: 235-252.
  • 6CHASE K. New semigroups of binary relations[J]. Semigroup Forum, 1979, 18: 79-82.
  • 7CHASE K. Sandwish semigroups of binary relations[J]. Discrete Math, 1979, 28:231-236.
  • 8CHASE K. Maximal groups in sandwish semigroups of binary relations[J]. Pacific J Math, 1982, 100: 43-59.
  • 9KI HANG KIM. Boolean matrix theory and applications[M]. New York: Marcel Dekker, 1982.
  • 10LIN P F, XU B, ZHANG CH J. Some properties of Semigroup Pθ(I × A) of all Binary Relations from a Set I to a Set A [J]. Journal of Guizhou Normal University (Natural Sciences), 2007, 25(3): 72-77.

共引文献5

同被引文献47

  • 1林屏峰,徐波,张传军.集合I到集合Λ上的二元关系半群P_θ(I×Λ)的基本性质[J].贵州师范大学学报（自然科学版）,2007,25(3):72-77. 被引量：3
  • 2R J PLEMMONS, M T WEST. On the semigroup of binary relations[J]. Pacific J Math, 1970, 35: 743-753.
  • 3R J PLEMMONS, B M SCHEIN. Groups of binary relations[J]. Semigroup Forum, 1970, 1: 267-271.
  • 4S SCHWARZ. On idempotent binary relations on a finite set[J]. Czech J Math, 1970, 20: 696-702.
  • 5J KONIECZNY. The semigroup generated by regular Boolean matrices[J]. South Asian Bull of Math, 2002, 25:627-641.
  • 6J KONIECZNY. Green's equivalences in finite semigroups of binary relations[J]. Semigroup Forum, 1994, 48: 235-252.
  • 7K CHASE. New semigroups of binary relations[J]. Semigroup Forum, 1979, 18: 79-82.
  • 8K CHASE. Sandwish semigroups of binary relations[J]. Discrete Math, 1979, 28: 231-236.
  • 9K CHASE. Maximal groups in sandwish semigroups of binary relations[J]. Pacific J Math, 1982, 100: 43-59.
  • 10KI HANG KIM. Boolean matrix theory and affplications[M].New Yorki IVlarcel Dekker, 1982.

引证文献6

二级引证文献7

西南民族大学学报（自然科学版）
2010年 第1期

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