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正则半群上与格林关系有关的同余 被引量:2

CONGRUENCES ON REGULAR SEMIGROUPS RELATED WITH GREEN'S RELATIONS
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摘要 讨论正则半群上与格林关系有关的同余生成的格,研究这个格的Hasse图的几种退化情形,然后确定逆半群和两类特殊的完全正则半群上与格林关系有关的同余所生成的同余格. It is discussed the lattice of congruences on a regular semigroup generated by the congruences generated by Green' s relations. Some degenerate cases of the Hasse diagram of this lattice are studied, and then these lattices on inverse semigroups and two special classes of completely regular semigroups are determined.
出处 《华南师范大学学报(自然科学版)》 CAS 2006年第2期22-26,共5页 Journal of South China Normal University(Natural Science Edition)
基金 广东省自然科学基金资助项目(0501332)
关键词 同余格 格林关系 退化 lattice of congruences Green' s relations degenerate
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参考文献5

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同被引文献9

  • 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.
  • 3KOCH R J,MADISON B L.Notes on Congruences on Regular Semigroups I[J].J Austral Math Soc (Series A),1985,39:146-158.
  • 4HOWIE J M.Fundamentals of Semigroup Theory[M].London:Clarendon Press,1995.
  • 5HALL T E.Congruences and Green's Relations on Regular Semigroups[J].Glasgow Math J,1972,13:167-175.
  • 6PETRICH M,REILLY N R.Completely Regular Semigroups[M].New York:Wiley,1999.
  • 7KOCH R J.Comparison of Congruences on Regular Semigroups[J].Semigroup Forum,1983,26:295-305.
  • 8李春华,汪立民,范自柱.具有乘法型B断面富足半群的结构[J].数学进展,2014,43(2):232-242. 被引量:7
  • 9王守峰.具有可乘逆断面的正则半群上的预同态和限制积[J].山东大学学报(理学版),2017,52(8):90-93. 被引量:2

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