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偏序半群的同态和商序同态的若干重要性质 被引量：11

Some important properties of homomorphism and quotient ordered homomorphism of partially ordered semigroups
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摘要 通过对偏序半群的拟序、商拟序、同余和σ-全子半群的研究,得到偏序半群的同态的一些重要性质和商序同态的一些重要性质,同时分析这些性质之间的区别. Some important properties of homomorphism and quotient ordered homomorphism of partially ordered semigroups were obtained by means of studying the pseudoorder,quotient pseudoorder,congruence,and σ-full subsemigroup of partially ordered semigroups.Meantime,the differences in these properties were analyzed,also.
作者 邵海琴 何万生 杨随义 郭莉琴
机构地区 天水师范学院数学与统计学院
出处 《兰州理工大学学报》 CAS 北大核心 2011年第5期137-141,共5页 Journal of Lanzhou University of Technology
基金 甘肃省教育厅科研项目(0908-07) 甘肃省自然科学基金(096RJZE106)
关键词 偏序半群 商拟序 同余 σ-全子半群 商序同态 partially ordered semigroups quotient pseudoorder congruence σ-full subsemigroup quotient ordered homomorphism
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献6

  • 1KEHAYOPULU N, TSINGLIS N. Pseudoorder in ordered semigroups [J]. Semigmups Forum, 1995,50: 389-392.
  • 2CAO Y L. Quotient ordered homomorphisms of ordered sem- igroups [J]. Communications in Algebra, 2003,31 : 5563-5579.
  • 3邵海琴,薛占军,雷振亚.偏序半群的偏序扩张[J].纯粹数学与应用数学,2008,24(4):730-735. 被引量：12
  • 4CAO Y L. Decompositions and pseudo-orders of ordered sem- igroups [J]. Semigroups Forum, 2004,68:177-185.
  • 5XIE X Y. Introduction to ordered semigroups [M]. Beijing: Kexue Press, 2001.
  • 6KEYHAYOPULU N, TSINGLIS N. On sundireetly irreduci- ble ordered semigroups[J]. Semigroups Forum, 1995,50:161- 177.

二级参考文献7

  • 1谢祥云.交换偏序半群的偏序扩张[J].Journal of Mathematical Research and Exposition,2005,25(4):676-682. 被引量：5
  • 2Nakada O. Partially ordered ablian semigroups I [J]. J. Fac. Sct. Hokkaido Univ., 1951, 11(1):181-189.
  • 3Nakada O. Partially ordered ablian semigroups II [J]. J. Fac. Sct. Hokkaido Univ., 1952, 12(3):73-86.
  • 4Dubreil-Jacotin. Sures O-bands [J]. Semigroup Forum, 1971, 3(1):156-159.
  • 5Hulin A J. Extensions of ordered semigroups [J]. Semigroups Forum, 197b, 2(4):336-342.
  • 6Hulin A J. Extensions of ordered semigroups [J]. Czech. Math. J., 1976, 26(2):1-12.
  • 7Howie J M. An Introduction To Semigroups Theory [M]. London: Acad. Press, 1976.

共引文献11

同被引文献38

  • 1谢祥云.交换偏序半群的偏序扩张[J].Journal of Mathematical Research and Exposition,2005,25(4):676-682. 被引量：5
  • 2kehayopulu N,Tsinglis N.Pseudoorder in ordered semig-roups[J].Semigroups Forum,1995(50):389-392.
  • 3Cao Y L.Quotient ordered homomorphisms of ordered sem-igroups[J].Communications in Algebra,2003(31):5563-5579.
  • 4Caoy l.Decomposition sand Pseudo-orders of ordered Sem-igroups[J].Semigroups Forum,2004(68):177-185.
  • 5Howie J M.An introduction to semigroups theory[M].London:Acad.Press,1976.
  • 6Kehayopulu N, Tsinglis N. Pseudoorder in Ordered Semigroups [ J]. Semigroups Forum, 1995,50:389-392.
  • 7Cao Y L. Quotient Ordered Homomorphisms of Ordered Semigroups [ J ]. Communications in Algebra, 2003,31 ( 11 ) :5563-5579.
  • 8Cao Y L. Decompositions and Pseudo-orders of Ordered Semigroups [ J ]. Semigroups Forum ,2004,68 : 177-185.
  • 9Howie J M. An Introduction to Semigroups Theory[ M]. London : Acad. Press, 1976.
  • 10Kehayopulu N, Tsinglis N. Pseudoorder in Ordered Semigroups[ J]. Semigroups Forum, 1995 (50) : 389 - 392.

引证文献11

二级引证文献8

兰州理工大学学报
2011年 第5期

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