The Lattices of Congruences on Regular Semigroups with $Q$-Inverse Transversals
Received:May 18, 2007  Revised:July 07, 2008
Key Words: $Q$-inverse transversal   congruence   congruence pairs   congruence lattices   congruence relations on the congruence lattice.  
Fund Project:the National Natural Science Foundation of China (No.10571061); the Science Foundation of Guangdong Province (No.0501332) and the Science Foundation of the Department of Education of Yunnan Province (No.07C10110).
Author NameAffiliation
SHANG Yu Statistics \& Mathematics College, Yunnan University of Finance and Economics, Yunnan 650221, China 
WANG Li Min School of Mathematical Sciences, South China Normal University, Guangdong 510631, China 
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Abstract:
      In this paper, a complete congruence on the congruence lattice of regular semigroups with $Q$-inverse transversals is analysed. The classes of this complete congruence which are intervals are discussed and their least and greatest elements are presented clearly.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.03.009
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