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Studying semigroups of mappings using quasi-identities

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Abstract

We define pq-varieties as classes of finite semigroups closed under the formation of subsemigroups and finitary direct products. Different examples of pq-varieties arise naturally in the study of semigroups of mappings. We consider for these pq-varieties two typical problems of the theory of pseudovarieties.

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Authors and Affiliations

  1. Department of Mathematics, University of Essex, Wivenhoe Park, CO4 3SQ, Colchester, UK

    A. S. Vernitski

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  1. A. S. Vernitski
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Correspondence to A. S. Vernitski.

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Communicated by M. V. Volkov

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Vernitski, A.S. Studying semigroups of mappings using quasi-identities. Semigroup Forum 63, 387–395 (2001). https://doi.org/10.1007/s002330010058

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  • DOI: https://doi.org/10.1007/s002330010058

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