JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (8): 49-52.doi: 10.6040/j.issn.1671-9352.0.2015.248

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Unipotent congruences on a proper weakly left type B semigroup

LI Chun-hua1, XU Bao-gen1, HUANG Hua-wei2   

  1. 1. School of Science, East China Jiaotong University, Nanchang 330013, Jiangxi, China;
    2. Shcool of Mathematics Science, Guizhou Normal University, Guiyang 550001, Guizhou, China
  • Received:2015-05-25 Online:2016-08-20 Published:2016-08-08

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Abstract: The notion of a weakly left type B semigroup is introduced. A characterization of a unipotent congruence on a proper weakly left type B semigroup is given, and some results are obtained. Finally, a sufficient and necessary condition for a weakly left type B semigroup to be proper is given by using the notion of a structure mapping.

Key words: weakly left type B semigroups, unipotent congruences, structure mappings, proper

CLC Number: 

  • O152.7
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