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.
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Fund Project:the Natural Science Foundation of Huizhou University (No. C207.0202). |
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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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