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正规纯正左消幺半群并半群上的(*,~)-好同余(英文)
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  • 英文篇名:The(*,~)-good Congruences on Normal Ortho-lc-monoids
  • 作者:宫春梅 ; 任学明 ; 袁莹
  • 英文作者:GONG Chunmei;REN Xueming;YUAN Ying;Department of Mathematics,College of Science,Xi'an University of Architecture and Technology;
  • 关键词:(* ; ~)-好同余 ; 正规纯正左消幺半群并半群 ; (* ; ~)-好同余
  • 英文关键词:(*,~)-good congruence;;normal ortho-lc-monoid;;(*,~)-good congruence pair
  • 中文刊名:SXJZ
  • 英文刊名:Advances in Mathematics
  • 机构:西安建筑科技大学理学院数学系;
  • 出版日期:2015-05-15
  • 出版单位:数学进展
  • 年:2015
  • 期:v.44
  • 基金:The work is supported by NSFC(No.11471255,No.10971160,No.11101336,No.11226044);; Scientific Research Program funded by Shaanxi Provincial Education Department(No.12JK0876);; the Fund of Xi'an University of Architecture and Technology(No.RC1110,No.JC1219,No.QN1136)
  • 语种:英文;
  • 页:SXJZ201503005
  • 页数:10
  • CN:03
  • ISSN:11-2312/O1
  • 分类号:51-60
摘要
本文利用(*,~)-好同余对刻画了正规纯正左消幺半群并半群上的(*,~)-好同余.此结果将正则半群中有关正规纯正群并半群上同余的相关结论推广到了r-wide半群中.
        In this paper,(*,~)-good congruences on normal ortho-lc-monoids are characterized by means of(*,~)-good congruence pair.The result about congruences on normal orthogroups in regular semigroups is generalized to r-wide semigroups.
引文
[1]Guo,X.J.,Shum,K.P.and Guo,Y.Q.,Perfect rpp semigroups,Commun.Algebra,2001,29(6):2447-2460.
    [2]Guo,Y.Q.,Gong,C.M.and Kong,X.Z.,(*,~)-good congruences on regular ortho-lc-monoids,Algebra Colloq.,2014,21(2):235-248.
    [3]Guo,Y.Q.,Shum,K.P.and Gong,C.M.,On(*,~)-Green's relations and ortho-lc-monoids,Commun.Algebra,2011,39(1):5-31.
    [4]Howie,J.M.,Fundamentals of Semigroup Theory,London Math.Soc.Monogr.New Ser.,Vol.12,Oxford:Oxford University Press,1995.
    [5]Petrich,M.,A structure theorem for completely regular semigroups,Proc.Amer.Math.Soc,1987,99(4):617-622.
    [6]Petrich,M.and Reilly,N.R.,Completely Regular Semigroups,New York:Wiley,1999.
    [7]Shum,K.P.,Guo,X.J.and Ren,X.M.,(l)-Green's relations and perfect rpp semigroups,In:Proceedings of the Third Asian Mathematical Conference 2000(Sunada,T.,Sy,P.W.and Lo,Y.eds.),Singapore:World Scientific,2002,604-613.
    [8]Zhao,J.X.,Guo,Y.Q.and Liu,Y.,A note on the structure of ortho-lc-monoids,Southeast Asian Bull.Math.,2007,31(2):407-414.

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