A Method of Construction for Abundant Semigroups with a $CO$-Adequate Transversal
Received:March 04, 2006  Revised:October 12, 2006
Key Words: abundant semigroup   adequate semigroup   transversal.  
Fund Project:the Natural Science Foundation of Hunan Province (No.04JJ40001); the Scientific Research Foundation of Hunan Education Department (No.05A014).
Author NameAffiliation
LI Yong Hua School of Mathematical Sciences, South China Normal University, Guangdong 510631, China 
HE Yong School of Computer, Hunan University of Science and Technology, Hunan 411201, China 
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Abstract:
      In this paper, we first study the structure of quasi-adequate semigroups with a cancellative monoid transversal. By using the above result, we present a method of construction for the abundant semigroups containing a $CO$-adequate transversal.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.03.003
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