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Special Elements in the Lattice of Overcommutative Semigroup Varieties Revisited

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Abstract

We completely determine all distributive, codistributive, standard, costandard, and neutral elements in the lattice of overcommutative semigroup varieties, thus correcting a gap in a previous paper.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Ural State University, Lenina 51, 620083, Yekaterinburg, Russia

    Vyacheslav Yu. Shaprynskiǐ & Boris M. Vernikov

Authors
  1. Vyacheslav Yu. Shaprynskiǐ
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  2. Boris M. Vernikov
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Corresponding author

Correspondence to Boris M. Vernikov.

Additional information

The work was partially supported by the Russian Foundation for Basic Research (grant No. 09-01-12142) and the Federal Education Agency of the Russian Federation (project No. 2.1.1/3537).

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Shaprynskiǐ, V.Y., Vernikov, B.M. Special Elements in the Lattice of Overcommutative Semigroup Varieties Revisited. Order 28, 139–155 (2011). https://doi.org/10.1007/s11083-010-9158-0

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  • DOI: https://doi.org/10.1007/s11083-010-9158-0

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