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Congruences on eventually regular semigroups

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Abstract

Let S be an eventually regular semigroup. The extensively P-partial congruence pairs and P-partial congruence pairs for S are defined. Furthermore, the relationships between the lattice of congruences on S, the lattice of P-partial kernel normal systems for S, the lattice of extensively P-partial kernel normal systems for S and the poset of P-partial congruence pairs for S are explored.

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Authors and Affiliations

  1. Institute of Theories on Algebra and Automaton, School of Computer Science, Hunan University of Science and Technology, Xiangtan, Hunan, 411201, China

    Yong He

  2. School of Mathematics, South China Normal University, Guangzhou, Guangdong, 510631, China

    Yonghua Li

Authors
  1. Yong He
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  2. Yonghua Li
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Correspondence to Yong He.

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Communicated by Thomas E. Hall.

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He, Y., Li, Y. Congruences on eventually regular semigroups. Semigroup Forum 77, 423–437 (2008). https://doi.org/10.1007/s00233-008-9061-9

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  • DOI: https://doi.org/10.1007/s00233-008-9061-9

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