Solvable groups derived from fuzzy hypergroups

Authors

  • E. Mohammadzadeh Department of Mathematics, Faculty of Science, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
  • T. Nozari Department of Mathematics, Golestan University, Gorgan, Iran

DOI:

https://doi.org/10.23755/rm.v29i1.22

Keywords:

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

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.

References

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Published

2015-12-08

Issue

Vol. 29 (2015)

Section

Volume 29-2015

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