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Chebyshevskii Sbornik, 2013, Volume 14, Issue 4, Pages 205–212 (Mi cheb319)  
Periodicity in abelian $n$-ary groups

N. A. Shchuchkin

Volgograd State Socio-Pedagogical University
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Abstract: It is proved that every periodic abelian $ n $-ary group is isomorphic to the direct product of primary abelian $n$-ary groups belonging to different primes.
Keywords: abelian $n$-ary group, periodicity, direct.
Received: 14.09.2013
Document Type: Article
UDC: 512.548
Language: Russian
Citation: N. A. Shchuchkin, “Periodicity in abelian $n$-ary groups”, Chebyshevskii Sb., 14:4 (2013), 205–212
Citation in format AMSBIB
\Bibitem{Shc13}
\by N.~A.~Shchuchkin
\paper Periodicity in abelian $n$-ary groups
\jour Chebyshevskii Sb.
\yr 2013
\vol 14
\issue 4
\pages 205--212
\mathnet{http://mi.mathnet.ru/cheb319}
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  • https://www.mathnet.ru/eng/cheb/v14/i4/p205
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