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正则半群上与格林关系有关的同余的一些注记

Notes on congruences on regular semigroups related with Green's relations
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摘要 研究正则半群上格林关系生成的同余的rectangular和(L,R)-交换性,进一步讨论了R-交换同余,并引进一种新的性质——M-交换。 In this paper,the rectangular and(L,R)-commuting properties of the congruences generated by Green’s relations is studied.R-commuting congruences are discussed.And a new property——M-commuting property is introduced.
作者 冯莹莹
出处 《佛山科学技术学院学报(自然科学版)》 CAS 2010年第2期1-4,共4页 Journal of Foshan University(Natural Science Edition)
基金 佛山科学技术学院博士科研启动基金资助项目(2009BS009)
关键词 同余 格林关系 R-交换 M-交换 congruences; Green’s relations; R-commuting; M-commuting;
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参考文献8

  • 1HOWIE J M,LALLEMENT G.Certain Fundamental Congruences on a Regular Semigroup[J].Proc Glasgow Math Assoc,1966,7:145-159.
  • 2PASTIJN F,PETRICH M.Congruences on Regular Semigroups Associated with Green's Relations[J].Bollettino U M I,1987,7(1-B):591-603.
  • 3冯莹莹,汪立民.正则半群上与格林关系有关的同余[J].华南师范大学学报(自然科学版),2006,38(2):22-26. 被引量:2
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二级参考文献5

  • 1HOWIE J M,LALLEMENT G.Certain fundamental congruence on a regular semigroup[J].Proc Glasgow Math Assoc,1966,7:145-156.
  • 2HOWIE J M.Fundamentals of Semigroup Theory[M].Oxford:Clarendon Press,1995.
  • 3PASTIJN F,PETRICH M.Congruences on regular semigroups associated with Green's relations[J].Bollettino U M I,1987(7):591-603.
  • 4PETRICH M.Inverse Semigroups[M].New York:John Wiley & Sons,Inc,1984.
  • 5PETRICH M.REILLY N R.Completely Regular Semigroups[M].New York:John Wiley & Sons,Inc,1999.

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