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一种刻画具有Q-逆断面的正则半群上同余的方法 被引量：2

A CHARACTERIZATION OF THE CONGRUENCES ON REGULAR SEMIGROUPS WITH Q-INVERSE TRANSVERSAL
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摘要 对具有Q-逆断面的正则半群S的基于子半群R、L为构件的结构,引入了R、L上的同余的相容条件及用R和L上同余作成的同余对的概念,给出了S上的相应的同余刻画.用所给出的同余刻画方法,描述了逆半群同余、群同余和幂等分离同余. In this paper, congruences on regular semigroups with Q - inverse transversal are investigated based on their bricks -building structure. Congruences on this type of regular semigroups are coordinated by their restriction to the semigroups R and L. The representation of a congruence in the form of parameters, which satisfy some simple compatibility conditions, enables us to describe inverse congruences, group congruences and idempotent - separating congruences efficiently.
作者 商宇 汪立民
机构地区 华南师范大学数学科学学院
出处 《华南师范大学学报（自然科学版）》 CAS 2008年第1期1-5,共5页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10571061) 广东省自然科学基金资助项目(0501332) 云南省教育厅科学研究基金资助项目(07C10110)
关键词 具有Q-逆断面的正则半群 同余 同余对 regular semigroup with Q -inverse transversal congruences congruence pair
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献7

  • 1SAITO T. Structure of regular semigroups with a quasi - ideal inverse transversal [ J ]. Semigroup Forum, 1985,31:305 -309.
  • 2TANG Xi- lin. Regular semigroups with inverse transversals[ J]. Semigroup Forum, 1997,55:24 -32.
  • 3WANG L M. On congruence lattices of regular semigroups with Q - inverse transversals [ J ]. Semigroup Forum, 1995,50:141 - 160.
  • 4SAITO T. Construction of regular semigroups with inverse transversals [ J ]. Proe Edinburgh Math Soe, 1989,32 (1) :41 -51.
  • 5MCALISTER D B, MCFADDEN R B. Regular semigroups with inverse transversals [ J ]. Q J Math Oxford, 1983,34(2) :459 -474.
  • 6SAITO T. A note on regular semigroups with inverse transversals [ J ]. Semigroup Forum, 1986,33:149 - 152.
  • 7HOWIE J M. An Introduction to Semigroup Theory[ M]. New York:Academic Press, 1976.

同被引文献21

  • 1SAITO T. A note on regular scmigroups with inverse transversals[ J]. Semigroup Forum, 1986,33:149 - 152.
  • 2TANG Xi - lin. Regular semigroups with inverse transversals [ J ]. Semigroup Forum, 1997,55:24 - 32.
  • 3WANG L M. On congruence lattices of regular semigreups with Q - inverse transversals [ J ]. Semigroup Forum,1995 ,50:141 - 160.
  • 4SAITO T. Construction of regular semigroups with inverse transversals[ J]. Proc Edinburgh Math Soc, 1989,32 (1) :41 -51.
  • 5MCALISTER D B, MCFADDEN R B. Regular semigroups with inverse transversals[J]. Q J Math Oxford, 1983,34(2) :459 - 474.
  • 6SAITO T. Structure of regular semigroups with a quasi - ideal inverse transversal [ J ]. Semigreup Forum, 1985,31:305 - 309.
  • 7PASTIJN F,PETRICH M. Congruences on regular semigroups [J]. Trans Amer Math Soc, 1986,295:607.
  • 8HOWIE J M. An Introduction to Semigroup Theory[M]. New York:Academic Press,1976.
  • 9PETRICH M. Inverse Semigroups [ M ]. New York : Wiley - Interseienee, 1984.
  • 10GARBA G U. On the idempotent ranks of certain semig- roups of order-preserving transformations [ J ]. Portugal Math, 1994,51 : 185 -204.

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华南师范大学学报（自然科学版）
2008年 第1期

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