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Semimodularity of the congruence lattice on regular ω-semigroups

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Abstract

In this paper a characterization of the regular ω-semigroups whose congruence lattice is semimodular is given. The characterization obtained for such semigroups generalizes the one given by Scheiblich for bisimple ω-semigroups. Notice that we use the definition of semimodularity which other authors call double covering property.

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Authors and Affiliations

  1. Dipartimento di matematica, Università, Via Saldini, 50, I-20133, Milano, Italy

    C. Bonzini

  2. Dipartimento di matematica, Politecnico, Piazza L. da Vinci, 32, I-20133, Milano, Italy

    A. Cherubini

Authors
  1. C. Bonzini
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  2. A. Cherubini
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Work supported by M.P.I.

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Bonzini, C., Cherubini, A. Semimodularity of the congruence lattice on regular ω-semigroups. Monatshefte für Mathematik 109, 205–219 (1990). https://doi.org/10.1007/BF01297761

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  • DOI: https://doi.org/10.1007/BF01297761

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