Classification of ternary quasigroups according to their parastrophic symmetry groups, II.

Authors

  • Yevhen Pirus Donetsk Regional Center for Educational Quality Assessment

DOI:

https://doi.org/10.31558/1817-2237.2019.1-2.9

Keywords:

ternary quasigroup, variety of a quasigroup, parastrophic quasigroups, parastrophic symmetry, parastrophic varieties, parastrophic symmetry groups

Abstract

The main purpose of this article as well as the previous one [14] is classification of ternary quasigroups according to their parastrophic symmetry groups.

Author Biography

Yevhen Pirus, Donetsk Regional Center for Educational Quality Assessment

head of department of information technologies

References

Fedir Sokhatsky, Yevhen Pirus Classification of ternary quasigroups according to their parastrophic symmetry groups, I. Bulletin of Donetsk National University. Series A: Natural Sciences. 2018. № 1-2, 70–82.

Sokhatsky F.M. Parastrophic symmetry in quasigroup theory. Bulletin of Donetsk National University. Series A: Natural Sciences. 2016. (1/2), 70–83.

Сохацкий Ф.Н., Кирнасовский О.Е. Канонические разложения многоместных изотопов групп. // Известия Гомельского государственного университета им. Ф.Скорины, 2001, N3(6). — Вопросы алгебры.– 17, С.88–97

F.M. Sokhatsky About of group isotopes I. Ukrainian Math.Journal, 47(10) (1995), 1585−−1598 .

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Mathematics