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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 6, Pages 1285–1297
DOI: https://doi.org/10.33048/smzh.2021.62.606 (Mi smj7628) 		 
The endotopism semigroups of a partial equivalence relation

Yu. V. Zhuchok, E. A. Toichkina

Luhansk Taras Shevchenko National University, Starobelsk, Luhansk Region, Ukraine
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DOI: https://doi.org/10.33048/smzh.2021.62.606
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.
Keywords: endotopism, autotopism, partial equivalence relation, regularity, coregularity.
Funding agency Grant number
National Research Foundation of Ukraine 2020.02/0066
E. A. Toichkina was supported by the National Research Foundation of Ukraine (Grant 2020.02/0066).
Received: 06.06.2021
Revised: 25.08.2021
Accepted: 11.10.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 6, Pages 1039–1049
DOI: https://doi.org/10.1134/S0037446621060069
Bibliographic databases:
Document Type: Article
UDC: 512.53
MSC: 35R30
Language: Russian
Citation: Yu. V. Zhuchok, E. A. Toichkina, “The endotopism semigroups of a partial equivalence relation”, Sibirsk. Mat. Zh., 62:6 (2021), 1285–1297; Siberian Math. J., 62:6 (2021), 1039–1049
Citation in format AMSBIB
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