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一类变换半群的正则元 被引量：2

Regular elements for a kind of transformation semigroups
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摘要 在等价关系E■F的假设下,给出了变换半群TFE(X)的正则元的性质.利用这些性质,简化了正则元的格林关系,得到了更为简单的描述. Under the equivalences E F,we give the properties of the regular elements for the semigroups TFE（X） of transformations and describe Green’s relations for the regular elements.
作者 孙垒 卢凤梅
机构地区 河南理工大学数学与信息科学学院 安阳工学院数理学院
出处 《纯粹数学与应用数学》 CSCD 2011年第2期158-162,共5页 Pure and Applied Mathematics
基金 河南省自然科学基金(102300410233 112300410120) 河南省教育厅自然科学基金(2009A110007) 河南理工大学博士基金(B2009-56) 河南理工大学青年骨干教师项目 应用数学河南省重点学科
关键词 变换半群 等价关系 正则元 格林关系 transformation semigroup equivalence regular element Green’s relations
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献5

  • 1Pei Huisheng. Regularity and Green's relations for semigroups of transformations that preserve an equivalence[J]. Communications in Algebra, 2005,33:109-118.
  • 2Araujo J, Konieczny J. Semigroups of transformations preserving an equivalence relation and a cross- section[J]. Communications in Algebra, 2004,32:1917-1935.
  • 3Pei Huisheng, Zou Dingyu. Green's equivalences on semigroups of transformations preserving order and an equivalence relation[J]. Semigroup Forum, 2005,71:241-251.
  • 4SUN Lei,PEI Hui Sheng.Green＇s Relations on Semigroups of Transformations Preserving Two Equivalence Relations[J].Journal of Mathematical Research and Exposition,2009,29(3):415-422. 被引量：5
  • 5Pei Huisheng. Equivalences, α-semigroups and α-congruences[J]. Semigroup Forum, 1994,49:49-58.

二级参考文献9

  • 1HOWIE J M. Fundarnentals of Semigroup Theory [M]. Oxford University Press, New York, 1995.
  • 2PEI Huisheng. Equivalences, α-semigroups and α-congruences [J]. Semigroup Forum, 1994, 49(1): 49-58.
  • 3PEI Huisheng. A regular α-semigroup inducing a certain lattice [J]. Semigroup Forum, 1996, b3(1): 98-113.
  • 4PEI Huisheng. Some α-semigroups inducing certain lattices [J]. Semigroup Forum, 1998, 57(1): 48-59.
  • 5PEI Huisheng, GUO Yufang. Some congruences on S(X) [J]. Southeast Asian Bull. Math., 2000, 24(1): 73-83.
  • 6PEI Huisheng. A unique atom in [C(Ω), Cα(Ω)] [J]. East-West J. Math., 1999, 1(2): 197-205.
  • 7PEI Huisheng. Regularity and Green's relations -for semigroups of traasformations that preserve an equivalence IJ]. Comm. Algebra, 2005, 33(1): 109-118.
  • 8ARAUJO J, KONIEZNY J. Semigroups of transformations preserving an equivalence relation and a crosssection [J]. Comm. Algebra, 2004, 32(5): 1917-1935.
  • 9PEI Huisheng, ZOU Dingyu. Green's equivalences on semigroups of transformations preserving order and an equivalence relation [J]. Semigroup Forum, 2005, 71(2): 241-251.

共引文献4

同被引文献12

  • 1Pei Huisheng, Sun Lei, Zhai Hongcun.Green's relations for the variants of transformation semigroups preserving an equivalence relation[J].Communications in Algebra, 2007,35(6): 1971-1986.
  • 2Pei Huisheng. Green's relations for the variants of transformation semigroups preserving an equivalence relation[J].Communications in Algebra,2007,35(6): 1971-1986.
  • 3Pei Huisheng. Regularity and Green's relations for semigroups of transformations that preserving an equivalence [J]. Communications in Algebra, 2005,33(1): 108-109.
  • 4Howie J M. Fundamentals of Semigroup Theory[M]. New York: Oxford University Press, 1995.
  • 5Howie J M. Fundamentals of Semigroup Theory[ M ]. New York: Oxford University Press, 1995.
  • 6Pei Huisheng. Regularity and Green' s relations for semigroups of transformations that preserving an equivalence [ J ]. Communi- cations in Algebra, 2005,33 : 108-109.
  • 7PEI Hui-sheng, SUN Lei, ZHAI Hong-cun. Green' s relations for the variants of transformation semigroups preserving an equivalence relation [ J ]. Communications in Algebra, 2007,35 : 1971-1986.
  • 8PEI Hui-sheng, ZOU Ding-yu. Green' s equivalences on semigroups of transformation preserving order and an equivalence rela- tion [ J ]. Semigroup Forum,2005 : 1-11.
  • 9秦美青,刘玉春.关于一类变换半群的若干结果[J].科学技术与工程,2008,8(16):4596-4598. 被引量：2
  • 10裴惠生,周会娟.保持一个等价关系的部分变换半群(英文)[J].数学进展,2009,38(1):103-116. 被引量：12

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纯粹数学与应用数学
2011年 第2期

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