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一类特殊正则半群上的格林关系 被引量:3

Green Relations on a Particular Regular Semigroup
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摘要 构造一个特殊类型的正则半群S,使S中的任意元素a,b满足(ab)n∈∪.研究这类正则半群S上的格林关系,进而得出这些格林关系是S上的同余. A particular regular semigroup S which satisfies the condition that (ab)n ∈ (a) ∪ (b) for any elements a ,b of S is given. Then the Green relations on the regular semigroup are investigated. Moreover,it is proved that these Green relations are congruences on the semigroup.
出处 《甘肃科学学报》 2010年第1期11-13,共3页 Journal of Gansu Sciences
关键词 正则半群 格林关系 同余 regular semigroup Green relation congruence band
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参考文献7

  • 1Tian Z J, Yan K M. Eventually inverse semigroups whose lattice of eventually inverse subsemigroups is semimodular[J]. Semigroup Forum, Z003,63 : 334-338.
  • 2江洪,田振际,王亚伟.一类多循环半群的研究[J].甘肃科学学报,2008,20(2):30-32. 被引量:5
  • 3Hall T E. On regular semigroups whose idempotents form a subsemigroup[J]. Bull. Austral. Math. Soc, 1969,1 : 195-208.
  • 4Howie J M. Fundamentals of semigroup Theory[M]. London:Clarendon Press Oxford, 1995.
  • 5Petrich M, Reilly N. Completely regular semigroup[M]. Toronto: Wiley Sons, 1999.
  • 6Bogdanovis S. Semigroups with a system of Subsemigroups[M]. Novi Sad;Novi Sad University press,1985.
  • 7Petrieh M. Introduction to semigroups[M]. Columbus: Merrill Publishing Company, 1973.

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同被引文献23

  • 1李师正.带的一种结构方法[J].山东师范大学学报(自然科学版),1995,10(2):121-123. 被引量:1
  • 2毕晓冬.完全正则半群的一个构造方法[J].山东大学学报(理学版),2007,42(1):40-43. 被引量:2
  • 3Wagner V V. The Theory of Generalized Heaps and Generalized Groups[J]. Mat. Sbornik, 1953,32:545-632.
  • 4Preston GB. Inverse Semigroups[J].London Math,Soc. ,1054,29:396-430.
  • 5Mcakin J. Congruences on Orthodox Semigroups[J]. Austral. Math. Soc. , 1971,12:323-341.
  • 6He Y. Partial Kernel Normal Systems in Regular Semigroups[J]. Semigroup Forum,2002,64:325-328.
  • 7Howie J M. Fundamentals of Semigroup Theory[M]. Oxford:Clarendon Press, 1995.
  • 8Comes G M. Orthodos Congruence on Regular Semigroups[J]. Semigroup Forum, 1988,37:149-166.
  • 9Saito T. Othodox Semidirect Products and Wreath Products of Monoids[J]. Semigroup Forum, 1989,38:347-354.
  • 10Howie J M. Fundamentals of Semigroup Theory[M]. Oxford: Oxford University Press, 19 9 5.

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