Journal of Jilin University Science Edition

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Maximal Subsemigroups of Semigroup MC(n,r)

JIN Jiulin, YOU Taijie   

  1. School of Mathematics Science, Guizhou Normal University, Guiyang 550001, China
  • Received:2016-05-13 Online:2017-05-26 Published:2017-05-31
  • Contact: YOU Taijie E-mail:youtj@gznu.edu.cn

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Abstract: Suppose Xn={1,2,…,n}, with the usual order of natural number sequence, MCn was the monotonic compression singular transformation semigroup on Xn. For any 3≤r≤n-1, we considered the semigroup MC(n,r)={α∈MCn: |Im α|≤r}, and obtained the complete classification of the maximal subsemigroups of the semigroup MC(n,r) on Xn.

Key words: maximal subsemigroup, transformation semigroup, monotonic compression

CLC Number: 

  • O152.7
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