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Ehresmann型wrpp半群 被引量:7

EHRESMANN-TYPED WRPP SEMIGROUPS
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摘要 众所周知,纯正群并是正则半群类中的一类重要半群,本文定义Ehresmann型wrpp半群,它是纯正群并在wrpp半群类中的推广,给出了此类半群的若干刻划. It is well known that orthogroups are important semigroups in the class of regular semigroups.We now intrduce the class of Ehresmann-typed wrpp semingroups in the class of wrpp semigroups.Ehresmann-typed wrpp semingroups are analogues of orthogroups in the class of wrpp semigroups.Some structure theorems of Ehresmann-typed wrpp semigroups are given.
作者 李刚 丁寅
出处 《山东师范大学学报(自然科学版)》 CAS 2005年第3期4-6,共3页 Journal of Shandong Normal University(Natural Science)
基金 国家自然科学基金资助项目(10071068)
关键词 半群 强WRPP半群 Ehresmann型wrpp半群 semigroup strongly wrpp semigroup Ehresmann-typed wrpp semigroup
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参考文献5

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同被引文献28

  • 1张玉芬,张爱平,陈秀梅.强左π-逆半群的半直积[J].山东师范大学学报(自然科学版),2005,20(2):1-2. 被引量:8
  • 2张玉芬,李师正.弱Clifford拟正则半群的半直积和圈积[J].数学学报(中文版),1995,38(4):498-504. 被引量:16
  • 3许新斋,李颖,艾素梅.关于交换准素序半群[J].山东师范大学学报(自然科学版),2005,20(3):1-3. 被引量:10
  • 4张爱平,李刚.LR-拟正规-Ehresmann半群[J].山东大学学报(理学版),2006,41(5):44-47. 被引量:2
  • 5[1]Petrich M,Reilly N R.Completely Regular Semigroups.New York:A Wiley-IntersiencePublication,1999:1-50
  • 6[2]Tang X.On a theorem of C-wrpp semigroups.Comm Algebra,1997;25(5):1499-1504
  • 7Mario Petrich,Norman R Reilly.Completely Regular Semigroup[M].New York:A Wiley-Interscience Publication,1999.
  • 8John M Howie.Fundamentals of semigroup Theory[M].London:Clarendon Press,1995.
  • 9Nico William R.On the regularity of semidirect products[J].J Algebra,1983,80:29~36
  • 10Saito Tatsuhiko.Orthodox semidirect products and wreath products of monoids[J].Semigroup Forum,1989,38:347~354

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