J4 ›› 2011, Vol. 46 ›› Issue (12): 60-65.

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Maximal regular subsemigroups of orientation-preserving or orientation-reserving transformation semigroups I(n，r)

ZHAO Ping1, HU hua-bi1, XU Bo2   

  1. 1. School of Basic Medicine, Guiyang Medical College, Guiyang 550004, Guizhou, China;
    2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China
  • Received:2010-11-04 Online:2011-12-20 Published:2011-12-24

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Abstract:

Let Pn be the orientation-preserving or orientation-reserving transformation semigroup on ［n］, and let I(n,r)=｛α∈Pn:|im(α)|≤r｝(3≤r≤n-1).  The classification of maximal regular subsemigroup of semigroup  is obtained completely.
 

Key words: transformation semigroup; orientation-preserving transformation semigroup; orientation-preserving or orientation-reserving transformation semigroup; maximal regular subsemigroup

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