| Split Left GC-Lpp Semigroups |
| Received:May 24, 2010 Revised:January 12, 2011 |
| Key Words:
left GC-lpp semigroup left regular band left ample semigroup.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10961014), the Natural Science Foundation of Jiangxi Province and the Science Foundation of the Education Department of Jiangxi Province (Grant No.GJJ11388). |
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| Abstract: |
| A left GC-lpp semigroup $S$ is called split if the natural homomorphism $\gamma^\flat$ of $S$ onto $S/\gamma$ induced by $\gamma$ is split. It is proved that a left GC-lpp semigroup is split if and only if it has a left adequate transversal. In particular, a construction theorem for split left GC-lpp semigroups is established. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.01.005 |
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