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Congruences on Split Quasi-Adequate Semigroups

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Abstract

In this paper, we give congruences on a split IC quasi-adequate semigroup by the congruence triple abstractly which consists of congruences on the structure component parts L, T, and R. We prove that the set of all congruences on this kind of semigroups is a complete lattice.

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Acknowledgments

The authors would like to thank the referee for his or her useful and valuable comments and suggestions relating to this paper.

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Authors and Affiliations

  1. School of Mathematics, Northwest University, Xi’an, Shaanxi, 710127, People’s Republic of China

    Aifa Wang

  2. School of Mathematics and Statistics, Chongqing University of Technology, Chongqing, 400054, People’s Republic of China

    Aifa Wang & Lili Wang

Authors
  1. Aifa Wang
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  2. Lili Wang
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Correspondence to Lili Wang.

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Wang, A., Wang, L. Congruences on Split Quasi-Adequate Semigroups. Vietnam J. Math. 43, 151–158 (2015). https://doi.org/10.1007/s10013-014-0081-3

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  • DOI: https://doi.org/10.1007/s10013-014-0081-3

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