Semigroup Forum

, Volume 72, Issue 1, pp 75–93 | Cite as

Maximal Regular Subsemibands of Singn

  • Xiuliang YangEmail author
  • Haobo YangEmail author


We describe maximal regular subsemibands of the singular transformation semigroup Singn on the set Xn = {1, 2, . . . n} and obtain their complete classification We show that Singn has n(n + 1)/2 maximal regular subsemibands, and formulate the cardinal number of such subsemigroups.


Cardinal Number Complete Classification Transformation Semigroup Singular Transformation 
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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of Mathematics, Hangzhou Teachers College, Hangzhou City, 310036, Zhejiang ProvinceP.R. China

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