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Split Left GC-Lpp Semigroups |
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| Authors: | Zhen Zhen LI Xiao Jiang GUO Zhi Qing FU |
| Institution: | Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China |
| Abstract: | A left GC-lpp semigroup S is called split if the natural homomorphism γb of S onto S/γ induced by γ 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. |
| Keywords: | left GC-lpp semigroup left regular band left ample semigroup |
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