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The Endotopism Semigroups of a Partial Equivalence Relation

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Abstract

We study the endotopism semigroups of a nonreflexive partial equivalence. We describe the existence conditions for six types of endotopisms and provide necessary and sufficient conditions for the regularity and coregularity of each of the endotopism semigroups of a given type.

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Funding

E. A. Toichkina was supported by the National Research Foundation of Ukraine (Grant 2020.02/0066).

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Authors and Affiliations

  1. Luhansk Taras Shevchenko National University, Starobelsk, Luhansk Region, Ukraine

    Yu. V. Zhuchok & E. A. Toichkina

Authors
  1. Yu. V. Zhuchok
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  2. E. A. Toichkina
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Corresponding author

Correspondence to Yu. V. Zhuchok.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 6, pp. 1285–1297. https://doi.org/10.33048/smzh.2021.62.606

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Zhuchok, Y.V., Toichkina, E.A. The Endotopism Semigroups of a Partial Equivalence Relation. Sib Math J 62, 1039–1049 (2021). https://doi.org/10.1134/S0037446621060069

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  • DOI: https://doi.org/10.1134/S0037446621060069

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