Refined Semilattice Structure of Left $C$-Wrpp Semigroups
Received:December 05, 2005  Revised:July 02, 2006
Key Words: left $C$-wrpp semigroup   refined semilattice   left-${\cal R}$ cancellative stripe   spined product.  
Fund Project:the Natural Science Foundation of Huizhou University (No. C207.0202).
Author NameAffiliation
CHEN Yi-zhi Department of Mathematics, Huizhou University, Guangdong 516015, China 
LI Yong-hua School of Mathematics, South China Normal University, Guangdong 516031, China 
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Abstract:
      In this paper, we explore the refined semilattice of left $C$-wrpp semigroups, and show that a left $C$-wrpp semigroup $S$ is a refined semilattice of left-${\cal R}$ cancellative stripes if and only if it is a spined product of a $C$-wrpp component and a left regular band. It is a generalization of the refined semilattice decomposition of left $C$-rpp semigroups.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.01.012
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