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On varieties of ordered semigroups

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Abstract

We use syntactical methods (fully invariant stable quasiorders) to study varieties of ordered semigroups. We prove that the lattice of all varieties of semigroups is embedded into the lattice of all varieties of ordered semigroups. The lattice of all varieties of ordered bands is completely described.

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Authors and Affiliations

  1. Department of Mathematics, J.E. Purkyně University, Ceske mladeze 8, 400 96, Usti nad Labem, Czech Republic

    Martin Kuřil

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  1. Martin Kuřil
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Correspondence to Martin Kuřil.

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Communicated by Michael Mislove.

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Kuřil, M. On varieties of ordered semigroups. Semigroup Forum 90, 475–490 (2015). https://doi.org/10.1007/s00233-014-9630-z

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  • DOI: https://doi.org/10.1007/s00233-014-9630-z

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