Split Left GC-Lpp Semigroups
Received:May 24, 2010  Revised:January 12, 2011
Key Words: left GC-lpp semigroup   left regular band   left ample semigroup.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10961014), the Natural Science Foundation of Jiangxi Province and the Science Foundation of the Education Department of Jiangxi Province (Grant No.GJJ11388).
Author NameAffiliation
Zhen Zhen LI Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Xiao Jiang GUO Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Zhi Qing FU Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
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Abstract:
      A left GC-lpp semigroup $S$ is called split if the natural homomorphism $\gamma^\flat$ of $S$ onto $S/\gamma$ induced by $\gamma$ is split. It is proved that a left GC-lpp semigroup is split if and only if it has a left adequate transversal. In particular, a construction theorem for split left GC-lpp semigroups is established.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.01.005
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