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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 4, Pages 898–911 (Mi smj2580)  
This article is cited in 6 scientific papers (total in 6 papers)

Simple polyadic groups

H. Khodabandeh, M. Shahryari

University of Tabriz, Tabriz, Iran
Full-text PDF (335 kB) Citations (6)
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Abstract: The main aim of this article is to establish a characterization of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of simpleness for polyadic groups, from the point of views of universal algebra, UAS (universal algebraic simpleness), and group theory, GTS (group theoretical simpleness). We obtain necessary and sufficient conditions for a polyadic group to be UAS or GTS.
Keywords: polyadic group, $n$-ary group, retract of $n$-ary group, simple polyadic group, congruence.
Received: 04.09.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 4, Pages 734–744
DOI: https://doi.org/10.1134/S0037446614040156
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: H. Khodabandeh, M. Shahryari, “Simple polyadic groups”, Sibirsk. Mat. Zh., 55:4 (2014), 898–911; Siberian Math. J., 55:4 (2014), 734–744
Citation in format AMSBIB
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\by H.~Khodabandeh, M.~Shahryari
\paper Simple polyadic groups
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\vol 55
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\pages 898--911
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    • This publication is cited in the following 6 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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    References:43
    First page:9
     
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