Left $\Delta$-Product Structure of Left C-Wrpp Semigroups
Received:January 26, 2007  Revised:July 13, 2007
Key Words: left C-wrpp semigroup   left regular band   left $\Delta$-product.
Fund Project:the Funds of Young and Middle-Aged Academic Talents of Linyi Normal University.
 Author Name Affiliation ZHANG Xiao Min Department of Mathematics, Linyi Normal University, Shandong 276005, China
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We study another structure of so-called left C-wrpp semigroups. In particular, the concept of left $\Delta$-product is extended and enriched. The aim of this paper is to give a construction of left C-wrpp semigroups by a left regular band and a strong semilattice of left-${\cal R}$ cancellative monoids. Properties of left C-wrpp semigroups endowed with left $\Delta$-products are particularly investigated.