On Cyclic Polygroups of Order less than Six and Period Two

한국수학교육학회지시리즈B:순수및응용수학 / 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. (Department of Mathematics, Yazd University)
Davvaz, B. (Department of Mathematics, Yazd University)

Kheradmand, M.R., & Davvaz, B.. (2019). ON CYCLIC POLYGROUPS OF ORDER LESS THAN SIX AND PERIOD TWO. 한국수학교육학회지시리즈B:순수및응용수학, 26(4), 233-245, https://doi.org/10.7468/jksmeb.2019.26.4.233

복사

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

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논문 상세

Vol.26 No.4

ON CYCLIC POLYGROUPS OF ORDER LESS THAN SIX AND PERIOD TWO

On Cyclic Polygroups of Order less than Six and Period Two

Abstract

한국수학교육학회지시리즈B:순수및응용수학