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Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive

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Abstract

We completely classify all varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive.

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Acknowledgements

The author thanks Edmond W.H. Lee, Boris M. Vernikov and Mikhail V. Volkov for several comments and suggestions for improving the manuscript.

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Authors and Affiliations

  1. Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, Ekaterinburg, Russia, 620000

    Sergey V. Gusev

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  1. Sergey V. Gusev
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Correspondence to Sergey V. Gusev.

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Communicated by John S. Wilson.

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The work is supported by the Ministry of Science and Higher Education of the Russian Federation (Project FEUZ-2020-0016)

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Gusev, S.V. Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive. Monatsh Math 201, 79–108 (2023). https://doi.org/10.1007/s00605-022-01717-x

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