Good congruences on abundant semigroups with multiplicative quasi-adequate transversals |
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| Authors: | Xiangfei Ni Yanfeng Luo HaiZhou Chao |
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| Affiliation: | 1.Department of Mathematics,Zhejiang Normal University,Jinhua,China;2.Department of Mathematics,Lanzhou University,Lanzhou,China;3.LongQiao School of Lanzhou Commercial College,Lanzhou,China |
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| Abstract: | In this paper, some properties of good homomorphic images of abundant semigroups with a multiplicative quasi-adequate transversal are obtained. After that, good congruences on a class of abundant semigroups with such transversals are studied. We characterize the good congruences by using the so-called good congruence triple. Furthermore, we prove that any good congruence on a class of abundant semigroups with such transversals can be constructed by the good congruence triple. |
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