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ISSN : 1226-0657

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Vol.26 No.4

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On Cyclic Polygroups of Order less than Six and Period Two

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2019, v.26 no.4, pp.233-245
https://doi.org/10.7468/jksmeb.2019.26.4.233
Kheradmand, M.R.
Davvaz, B.
Kheradmand,, M. , & Davvaz,, B. (2019). On Cyclic Polygroups of Order less than Six and Period Two. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(4), 233-245, https://doi.org/10.7468/jksmeb.2019.26.4.233

Abstract

Cyclic hypergroups are of great importance due to their applications to many field in mathematics. In this paper, we classify all polygroups of order less than six where each of its non-identity elements is a generator.

keywords
hyperoperation, semihypergroup, hypergroup, polygroup, strong homomorphism, cyclic polygroup, single-power cyclic, period

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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