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On Varieties of Semilattice-Ordered Semigroups


We initiate here a systematic equational classification of semilattice-ordered semigroups. We start with various examples. Then we consider semilattice-ordered semigroups satisfying the identity xr = x. Finally, we reduce the classification to finding certain operators on relatively free semigroups.

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Correspondence to Martin Kuril or Libor Polak.

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Kuril, M., Polak, L. On Varieties of Semilattice-Ordered Semigroups. Semigroup Forum 71, 27–48 (2005).

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  • Free Semigroup
  • Equational Classification