Solvable groups derived from fuzzy hypergroups

E. Mohammadzadeh, T. Nozari

Abstract


In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on the topic are presented.

Keywords


Fuzzy hypergroups, strongly regular relation, solv- able groups, fundamental relation.

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References


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DOI: http://dx.doi.org/10.23755/rm.v29i1.22

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