Abundant semigroups with a quasi-ideal quasi-adequate transversal |
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| Authors: | Xiang Fei Ni Yan Feng Luo Hai Zhou Chao |
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| Affiliation: | [1]Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China [2]Department of Mathematics, LongQiao School of Lanzhou Commerical College, Lanzhou 730000, P. R. China |
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| Abstract: | Characterization theorems for abundant semigroups having a quasi-ideal quasi-adequate transversal are obtained. Our results generalize and amplify the related results of Satio on regular semigroup obtained in 1985 and Kong obtained in 2007 respectively. Some recent results on this topic given by Guo-Shum are strengthened. In particular, the structure of such an abundant semigroup is described. |
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| Keywords: | abundant semigroup quasi-ideal Q-transversal |
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