JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (10): 6-8.doi: 10.6040/j.issn.1671-9352.0.2018.077

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Characterizing a band variety in terms of forbidden subsemigroups

WANG Dan, WANG Zheng-pan*   

  1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
  • Received:2018-03-03 Online:2018-10-20 Published:2018-10-09

Abstract: The left semiregular band variety defined by the equation [x3x1x2=x3x1x2x3x2x1x2] is an important proper subvariety of band variety. The variety is described in terms of two prohibited subsemigroups by the existing literature. Based on that, a new proper subvariety [x4x2x1x3=x4x2x1x3x4x2x3x2x1x3] of band varieties is characterized by relevant prohibited subsemigroups.

Key words: variety, band, prohibited subsemigroup

CLC Number: 

  • O152.7
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