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Standard Elements of the Lattice of Monoid Varieties

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Algebra and Logic Aims and scope

Standard elements of the lattice of all monoid varieties are described. In particular, it is shown that in this lattice, the property of being a standard element is equivalent to being a neutral element.

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Authors and Affiliations

  1. El’tsin Ural Federal University, Yekaterinburg, Russia

    S. V. Gusev

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  1. S. V. Gusev
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Correspondence to S. V. Gusev.

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Supported by RF Ministry of Education and Science, project FEUZ-2020-0016.

Translated from Algebra i Logika, Vol. 59, No. 6, pp. 615-626, November-December, 2020. Russian DOI: https://doi.org/10.33048/alglog.2020.59.601.

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Gusev, S.V. Standard Elements of the Lattice of Monoid Varieties. Algebra Logic 59, 415–422 (2021). https://doi.org/10.1007/s10469-021-09621-3

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  • DOI: https://doi.org/10.1007/s10469-021-09621-3

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