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Congruences on abundant semigroups associated with Green’s *-relations

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Abstract

Good congruences are defined as congruences preserving \(\mathcal L^*\)-classes and \(\mathcal R^*\)-classes. In this paper the good congruences on abundant semigroups generated by Green’s \(*\)-relations are investigated. The related results for regular semigroups are enriched and extended.

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Acknowledgments

The authors would like to thank Professor Li-Min Wang, College of Mathematics, South China Normal University, for his suggesting this topic of this paper and providing the reference [17]. Many thanks also to the referees for their suggestions. This research is jointly supported by the National Natural Science Foundation of China (Grant: 11661042 and 11361027); the Natural Science Foundation of Jiangxi Province and the Science Foundation of the Education Department of Jiangxi Province, China.

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Authors and Affiliations

  1. Department of Mathematics, Jiangxi Normal University, Nanchang, 330022, Jiangxi, People’s Republic of China

    Xiaojiang Guo & Aiqin Liu

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  1. Xiaojiang Guo
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  2. Aiqin Liu
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Correspondence to Xiaojiang Guo.

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Guo, X., Liu, A. Congruences on abundant semigroups associated with Green’s *-relations. Period Math Hung 75, 14–28 (2017). https://doi.org/10.1007/s10998-016-0163-y

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