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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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. , 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: Theoretical Mathematics and Pedagogical Mathematics

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