2017•International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statisticsOpen access

n-Abelian and μ_m Complete n-Abelian Hypergroups

Maryam Sadeghi, A. Hassankhani, B. Davvaz

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Abstract

‎‎‎‎‎‎The n-abelian hypergroups is‎ ‎introduced‎. ‎Several properties and examples are presented‎. Moreover‎, ‎we consider‎ ‎the fundamental relation β and fundamental relation μ_m ‎on the n-abelian hypergroups‎. ‎The class of μ_m-complete‎ ‎n-abelian hypergroup is also introduced‎.

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Key concepts: Abelian group, Mathematics, Class (philosophy), Relation (database), Pure mathematics, Elementary abelian group, Rank of an abelian group, Discrete mathematics