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Finite basis problem for semigroups of order six

  • Edmond W. H. Lee (a1) and Wen Ting Zhang (a2) (a3)

Abstract

Two semigroups are distinct if they are neither isomorphic nor anti-isomorphic. Although there exist  $15\,973$  pairwise distinct semigroups of order six, only four are known to be non-finitely based. In the present article, the finite basis property of the other $15\,969$  distinct semigroups of order six is verified. Since all semigroups of order five or less are finitely based, the four known non-finitely based semigroups of order six are the only examples of minimal order.

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References

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  • Cited by 7

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Finite basis problem for semigroups of order six

  • Edmond W. H. Lee (a1) and Wen Ting Zhang (a2) (a3)

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