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正则半群的纯正断面之间的关系 被引量:1

Relationship between the orthodox transversals of a regular semigroup
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摘要 正则半群的拟理想纯正断面不一定同构,但正则半群S的拟理想纯正断面的乘积是S的拟理想纯正断面. It is showed that the quasi-ideal orthodox transversals of a regular semigroup are not necessarily isomorphic by some examples, but the product of any two quasi-ideal orthodox transversals of a regular semigroup S is a quasi-ideal orthodox transversal of S.
作者 孔祥军 王蓓
出处 《西北师范大学学报(自然科学版)》 CAS 2006年第2期16-18,共3页 Journal of Northwest 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
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参考文献6

  • 1BLYTH T S,MCFADDEN R B.Regular semigroups with a multiplicative inverse transversal[J].Proc Roy Soc Edinburgh,1982,92A:253-270.
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同被引文献9

  • 1McAlister D B,McFadden R B.Regular semigroupswith inverse transversals[J].Q J Math Oxford,1983,34(2):459-474.
  • 2Saito T.Regular semigroups with a weakly multiplicative inverse transversal[J].Proc 8th Symposium on Semigroups,Shimane Univ,1985,22-25.
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  • 4Blyth T S,Almeida Satons M H.On weakly multiplicative inverse transversals[J].Proc Edinburgh Math Soc,1994,37:91-99.
  • 5Blyth T S,McFadden R B.Regular semigroups with a multiplicative inverse transversal[J].Proc Roy Soc Edinburgh,1982,92A:253-270.
  • 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

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