Idempotent Ranks in Strictly Partial Transformation Semigroups
Received:July 31, 1997  Revised:June 23, 1999
Key Words: strictly partial transformations   idempotent ranks.  
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Author NameAffiliation
YANG Xiu-liang Dept. of Math., Guizhou Normal University, Guiyang 550001, China 
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Abstract:
      Let SPn be the strictly partial transformation semigroup on Xn. For 2≤r≤n-2，We shall show that the subsemigroup V(n,r)＝｛α∈SPn∶｜imα｜≤r｝ is idempotent-generated, with both the rank and idempotent rank are equal to (r+1)S(n,r+1).
Citation:
DOI:10.3770/j.issn:1000-341X.2000.03.022
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