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Counterintuitive Examples of Monoids

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Advances in the Theory of Varieties of Semigroups

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Abstract

The direct product of a certain finitely based monoid of order seven with any noncommutative group of finite exponent is shown to be non-finitely based. Then the first examples of non-finitely based finite semigroups that generate finitely based monoids are constructed.

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Authors and Affiliations

  1. Department of Mathematics, Nova Southeastern University, Fort Lauderdale, FL, USA

    Edmond W. H. Lee

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  1. Edmond W. H. Lee
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Lee, E.W.H. (2023). Counterintuitive Examples of Monoids. In: Advances in the Theory of Varieties of Semigroups. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-16497-2_14

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