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弱可乘纯正断面 被引量：1

On Weakly Multiplicative Orthodox Transversals
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摘要 引入了纯正断面是可乘的和弱可乘的概念,证明了正则半群的纯正断面是可乘的充要条件是它是弱可乘的且是拟理想.研究了弱可乘纯正断面的一些性质,给出了纯正断面是弱可乘的两个等价条件. In this paper, the concept of multiplicativity and weakly multiplicativity orthodox transversal are introduced. An orthodox transversal of a regular semigroup is multiplieative if and only if it is both weakly multiplieative and a quasi-ideal is obtained. Some properties on weakly multiplieative orthodox transversal are given, and two equivalent conditions for orthodox transversals which are weakly multiplieatire are obtained.
作者 孔祥军 王蓓
机构地区 曲阜师范大学数学科学学院 曲阜师范大学职教学院
出处 《曲阜师范大学学报（自然科学版）》 CAS 2006年第4期43-45,共3页 Journal of Qufu Normal University(Natural Science)
基金 曲阜师范大学科研启动基金资助项目
关键词 逆断面 纯正断面 拟理想 inverse transversal orthodox transversal quasi-ideal
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献10

  • 1Blyth T S,McFadden R B.Regular semigroups with a multiplicative inverse transversal[J].Proc Roy Soc Edinburgh,1982,92A:253-270.
  • 2McAlister D B,McFadden R B.Regular semigroupswith inverse transversals[J].Q J Math Oxford,1983,34(2):459-474.
  • 3Saito T.Regular semigroups with a weakly multiplicative inverse transversal[J].Proc 8th Symposium on Semigroups,Shimane Univ,1985,22-25.
  • 4Saito T.Construction of regular semigroups with inverse transversals[J].Proc Edinburgh Math Soc.1989,32:41-51.
  • 5Blyth T S,Almeida Satons M H.On weakly multiplicative inverse transversals[J].Proc Edinburgh Math Soc,1994,37:91-99.
  • 6Blyth T S,Almeida Satons M H.A simplistic approach to inverse transversals[J].Proc Edinburgh Math Soc,1996,39:57-69.
  • 7Chen Jianfei.On regular semigroups with orthodox transversals[J].Comm Algebra,1999,27:4275-4288.
  • 8Chen Jianfei,Guo Yuqi.Orthodox transversals of regu lar semigroups[J].International J Algebra and Computation,2001,11(2):269-279.
  • 9郑恒武.半群中一个猜测的证明[J].曲阜师范大学学报（自然科学版）,1995,21(3):44-44. 被引量：1
  • 10孔祥军,王蓓.正则半群的纯正断面之间的关系[J].西北师范大学学报（自然科学版）,2006,42(2):16-18. 被引量：1

二级参考文献7

  • 1BLYTH T S,MCFADDEN R B.Regular semigroups with a multiplicative inverse transversal[J].Proc Roy Soc Edinburgh,1982,92A:253-270.
  • 2MCALISTER D B,MCFADDEN R B.Regular semigroups with inverse transversals[J].Q J Math Oxford,1983,34(2):459-474.
  • 3SAITO T.Relationship between the inverse transversals of a regular semigroup[J].Semigroup Forum,1986,33:245-250.
  • 4BLYTH T S,ALMEIDA SATONS M H.A simplistic approach to inverse transversals[J].Proc Edinburgh Math Soc,1996,39:57-69.
  • 5CHEN Jian-fei.On regular semigroups with orthodox transversals[J].Comm Algebra,1999,27:4275-4288.
  • 6CHEN Jian-fei,GUO Yu-qi.Orthodox transversals of regular semigroups[J].International J Algebra and Computation,2001,11(2):269-279.
  • 7高燕玲.关于半群的正则子半群的交[J].青海师范大学学报（自然科学版）,1993,0(4):6-11. 被引量：1

同被引文献9

  • 1Blyth T S,McFadden R B.Regular semigroups with a multiplicative inverse transversal[J].Proc Roy Soc Edinburgh,1982,92A:253-270.
  • 2McAlister D B,McFadden R B.Regular semigroups with inverse transversals[J].Q J Math Oxford,1983,34(2):459-474.
  • 3Saito T.Relationship between the inverse transversals of a regular semigroup[J].Semigroup Forum,1986,33:245-250.
  • 4Saito T.Construction of regular semigroups with inverse transversals[J].Proc Edinburgh Math Soc,1989,32:41-51.
  • 5Blyth T S,Almeida Santos M H.A simplistic approach to inverse transversals[J].Proc Edinburgh Math Soc,1996,39:57-69.
  • 6Blyth T S,Chen Jianfei.Inverse transversals are mutually isomorphic[J].Comm Algebra,2001,29:799-804.
  • 7Chen Jianfei.On regular semigroups with orthodox transversals[J].Communications in Algebra,1999,27:4275-4288.
  • 8Chen Jianfei,Guo Yuqi.Orthodox transversals of regular semigroups[J].International J,Algebra and Computation,2001,11(2):269-279.
  • 9Kong Xiangjun.Regular semigroups with quasi-ideal orthodox transversals[J].Semigroup Forum,2007,74:247-258.

引证文献1

曲阜师范大学学报（自然科学版）
2006年 第4期

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