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PERIODICITY IN ABELIAN n-ARY GROUPS

https://doi.org/10.22405/2226-8383-2013-14-4-206-212

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.

 

About the Author

N. A. Shchuchkin
Волгоградский государственный социально-педагогический университет
Russian Federation


References

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9. Gal’mak A. M. Congruence polyadic groups. Minsk: Belarusian Science, 1999. 180 p.


Review

For citations:


Shchuchkin N.A. PERIODICITY IN ABELIAN n-ARY GROUPS. Chebyshevskii Sbornik. 2013;14(4):206-212. (In Russ.) https://doi.org/10.22405/2226-8383-2013-14-4-206-212

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ISSN 2226-8383 (Print)