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Homomorphisms and congruences on regular semigroups with associate inverse subsemigroups

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Abstract

An associate inverse subsemigroup of a regular semigroup S is a subsemigroup T of S containing a least associate x* of each x ∈ S, in relation to the natural partial order ≤. In [1] the authors describe the structure of regular semigroups with an associate inverse subsemigroup, satisfying two natural conditions. In this paper we describe all *-homomorphisms and all *-congruences on such semigroups.

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References

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Authors and Affiliations

  1. FB 10 Mathematik und Naturwissenschaften, Universität Kassel, D-34127, Kassel, Germany

    B. Billhardt

  2. U.T.A.D., CM-UTAD, 5000, Vila Real, Portugal

    E. Giraldes

  3. Centro de Matemática, Universidade do Minho, 4710-057, Braga, Portugal

    P. Marques-Smith & P. Mendes Martins

Authors
  1. B. Billhardt
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  2. E. Giraldes
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  3. P. Marques-Smith
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  4. P. Mendes Martins
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Corresponding author

Correspondence to B. Billhardt.

Additional information

Communicated by Mária B. Szendrei

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Billhardt, B., Giraldes, E., Marques-Smith, P. et al. Homomorphisms and congruences on regular semigroups with associate inverse subsemigroups. Period Math Hung 66, 221–243 (2013). https://doi.org/10.1007/s10998-013-1224-0

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  • DOI: https://doi.org/10.1007/s10998-013-1224-0

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