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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 1130–1135 (Mi smj1123)  
This article is cited in 9 scientific papers (total in 9 papers)

The commutativity relation in the symmetric semigroup

V. A. Kolmykov

Voronezh State University
Full-text PDF (178 kB) Citations (9)
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Abstract: We compute the cardinality of the centralizer of an injection or surjection provided that the basic set is countable. We prove a formula for the cardinality of the set of conjugacy classes in the infinite symmetric group.
Keywords: semigroup, centralizer, graph.
Received: 02.06.2003
Revised: 30.04.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 931–934
DOI: https://doi.org/10.1023/B:SIMJ.0000042480.17442.5b
Bibliographic databases:
UDC: 512.534.2, 510.227
Language: Russian
Citation: V. A. Kolmykov, “The commutativity relation in the symmetric semigroup”, Sibirsk. Mat. Zh., 45:5 (2004), 1130–1135; Siberian Math. J., 45:5 (2004), 931–934
Citation in format AMSBIB
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\by V.~A.~Kolmykov
\paper The commutativity relation in the symmetric semigroup
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\yr 2004
\vol 45
\issue 5
\pages 1130--1135
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2108507}
\zmath{https://zbmath.org/?q=an:1058.20054}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 5
\pages 931--934
\crossref{https://doi.org/10.1023/B:SIMJ.0000042480.17442.5b}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000224788300011}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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