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Good congruences on abundant semigroups with \(PSQ\)-adequate transversals

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Abstract

In this paper, we will characterize good congruences on abundant semigroups with \(PSQ\)-adequate transversals by using the so called good congruence triple, which generalizes some results on abundant semigroups with multiplicative adequate transversals.

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Acknowledgments

Supported by the National Natural Science Foundation of China (Grant No. 11261030)

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Authors and Affiliations

  1. School of Sciences, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People’s Republic of China

    Tianjie Zhang, Zhenji Tian & Yabing Shi

Authors
  1. Tianjie Zhang
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  2. Zhenji Tian
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  3. Yabing Shi
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Correspondence to Zhenji Tian.

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Communicated by László Márki.

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Zhang, T., Tian, Z. & Shi, Y. Good congruences on abundant semigroups with \(PSQ\)-adequate transversals. Semigroup Forum 89, 462–468 (2014). https://doi.org/10.1007/s00233-014-9584-1

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  • DOI: https://doi.org/10.1007/s00233-014-9584-1

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