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集合Λ上的半格Γ确定的二元关系半群Ρ_Γ(Λ×Λ)的Green-关系 被引量：3

Green’s relations of semi-group Ρ_Γ (Λ×Λ) of binary relations determined by the semilattice Γ on the setΛ
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摘要 设Λ是任意的非空集合,Γ是集合Λ上的半格.研究了集合Λ上的半格确定的二元关系半群ΡΓ(Λ×Λ)的Green-R关系和Green-L关系. Let∧ be an arbitrary nonempty set, and F be a semilattiee on the set∧. The paper researches Green relation R and L of semi-group PГ（ ∧×∧） of binary relations determined by the semilattice Г on the set∧.
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 2013年第1期26-29,共4页 Journal of Southwest Minzu University(Natural Science Edition)
基金 中央高校基本科研业务费专项项目(12NZYQN29 12NZYTD21)
关键词 二元关系半群 Green-R关系 Green-L关系 semi-group of binary relations Green relationR Green relation L
分类号 O152 [理学—基础数学]
  • 相关文献

参考文献10

二级参考文献34

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  • 2PLEMMONS R J, SCHEIN B M. Groups of binary relations[J]. Semigroup Forum,1970, 1: 267-271.
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  • 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7

同被引文献17

  • 1ROBERT JAMES PLEMMONS. On the semigroup of binary relations[J]. Pacific Journal Mathematics, 1970,35:743 -753.
  • 2ROBERT JAMES PLEMMONS, BORIS M. Schein. Groups of binary re- lations [J], Semigreup Forum, 1970,1:267 - 271.
  • 3TEFAN SCHWARZ. On idempotent binary relations on a finite set [J]. Czechoslovak Mathematical Journal, 1970,20:696 - 702.
  • 4KAREN CHASE. New semigreups of binary relations [J]. Semigroup Forum, 1979,18:79 - 82.
  • 5KAREN CHASE. Sandwish semigroups of binary relations[J]. Discrete Math. , 1979,28:231 - 236.
  • 6KAREN CHASE. Maximal groups in sandwish semigroups of binary re- lations [J]. Pacific Journal Mathematics, 1982,100:43 - 59.
  • 7RALPH N, MCKENZIE M, BORIS M. Schein. Every semigreups is iso- morphic to a transitive semigroup of binary relations [J]. Transactions of the American Mathematical Society, 1997,349:271 - 285.
  • 8JANUSZ KONIECZNY. The semigroup generated by regular Boolean matrices [J]. Southeast Asian Bulletin of Mathematics, 2002,25:627 - 641.
  • 9GARRETT BIRKHOFF. Lattice Theory [M]. New York : American Mathematical Society, 1967.
  • 10JOHN MACKINTOSH HOWIE. An Introduction to Semigroup Theory [M]. Landon : Academic press, 1976.

引证文献3

二级引证文献2

西南民族大学学报（自然科学版）
2013年 第1期

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