Geodesic
Periodicity in abelian $n$-ary groups
Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 205-212

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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. 
@article{CHEB_2013_14_4_a18,
     author = {N. A. Shchuchkin},
     title = {Periodicity in abelian $n$-ary groups},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {205--212},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a18/}
}
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N. A. Shchuchkin. Periodicity in abelian $n$-ary groups. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 205-212. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a18/