Published online by Cambridge University Press: 01 January 2015
Two semigroups are distinct if they are neither isomorphic nor anti-isomorphic. Although there exist
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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
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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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