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Commutative zeropotent semigroups with few invariant congruences

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Abstract

Commutative semigroups satisfying the equation 2x + y = 2x and having only two G-invariant congruences for an automorphism group G are considered. Some classes of these semigroups are characterized and some other examples are constructed.

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Authors and Affiliations

  1. MFF UK, Sokolovská 83, Praha 8, 186 75, Czech Republic

    Robert El Bashir & Tomáš Kepka

Authors
  1. Robert El Bashir
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  2. Tomáš Kepka
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Corresponding author

Correspondence to Robert El Bashir.

Additional information

The first author was supported by the Grant Agency of Czech Republic, grant no. 201/01/D047. This work is a part of the research project MSM 0021620839 financed by MŠMT

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El Bashir, R., Kepka, T. Commutative zeropotent semigroups with few invariant congruences. Czech Math J 58, 865–885 (2008). https://doi.org/10.1007/s10587-008-0056-1

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  • DOI: https://doi.org/10.1007/s10587-008-0056-1

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