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完全正则半群上的H-相关同余 被引量:2

H-RELATED CONGRUENCES ON COMPLETELY REGULAR SEMIGROUPS
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摘要 本文研究了完全正则半群上的H-相关同余.给出了完全正则半群上的H-相关同余的概念以及若干等价刻画. In this article, we investigate H-related congruences on completely regular semigroups. The concept of H-related congruences on completely regular semigroups is introduced. Several equivalent characterizations of H-related congruences on completely regular semigroups are given.
出处 《数学杂志》 CSCD 北大核心 2009年第5期652-654,共3页 Journal of Mathematics
关键词 完全正则半群 H-相关同余 同余的核 completely regular semigroup H-related congruence kernel of a congruence
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参考文献2

  • 1Petrich M, Reilly N R. Completely regular semigroups[M]. New York: John Wiley & Sons, 1999.
  • 2Howie J M. Fundamentals of semigroup theory[M]. London: Oxford University Press, 1995.

同被引文献14

  • 1李旭东.N(2,2,0)代数中平移变换的象与逆象[J].Journal of Mathematical Research and Exposition,2005,25(1):148-153. 被引量:22
  • 2李旭东.N(2,2,0)代数的两类同余分解[J].兰州大学学报(自然科学版),2005,41(5):120-122. 被引量:8
  • 3邓方安,徐扬.关于N(2,2,0)代数[J].西南交通大学学报,1996,31(4):457-463. 被引量:64
  • 4JACKSON M, STOKES T. An invitation to C-semigroups [J]. Semigroup Forum, 2001, 62:279-310.
  • 5LAWSON M V. Abundant Rees Matrix Semigroups[J].Austrral Soc, 1987, 42:132-142.
  • 6HOWIE J M. An introduction to semigroup theory [ M]. London, Academic Press, 1976:186-190.
  • 7JACKSON M, STOKES T. Agreeable semigroups [ J]. Algebra, 2003, 266:393-417.
  • 8JACKSON M, STOKES T. Semilattice pseudo-complements on semigroups [J].Communications in Algebra, 2004, 32 (8) : 2895-2918.
  • 9PETRICH M, REILLY N R. Completely regular semigroups[M]. New York: Wiley, 1999.
  • 10邓方安,徐扬,袁俭.N(2,2,0)代数的理想与关联理想[J].陕西理工学院学报(社会科学版),1998,18(3):6-9. 被引量:43

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