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Sbornik: Mathematics, 2014, Volume 205, Issue 5, Pages 646–662
DOI: https://doi.org/10.1070/SM2014v205n05ABEH004392 (Mi sm8325) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The endotopism semigroups of an equivalence relation

Yu. V. Zhuchoka, E. A. Toichkinab

a National Taras Shevchenko University of Kyiv
b Lugansk Taras Shevchenko National University
English version PDF (473 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2014v205n05ABEH004392
Abstract: In this work we investigate six types of endotopism semigroups for a given equivalence relation. Necessary and sufficient conditions for the existence of all such endotopisms are presented. Conditions for the regularity and coregularity of each of the endotopism semigroups of a given type are established. The notion of the endotype of a binary relation with respect to its endotopisms is introduced and the endotype of an arbitrary equivalence relation is calculated.
Bibliography: 26 titles.
Keywords: endotopism, equivalence relation, regularity, coregularity, endotype.
Received: 13.01.2014
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 5, Pages 37–54
DOI: https://doi.org/10.4213/sm8325
Bibliographic databases:
Document Type: Article
UDC: 512.53
MSC: 20M20
Language: English
Original paper language: Russian
Citation: Yu. V. Zhuchok, E. A. Toichkina, “The endotopism semigroups of an equivalence relation”, Mat. Sb., 205:5 (2014), 37–54; Sb. Math., 205:5 (2014), 646–662
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:600
    Russian version PDF:221
    English version PDF:1
    References:62
    First page:28
     
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