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Abstract

We prove that all hypergroups of order four are commutative and that there exists a non-comutative hypergroup of order five. These facts imply that the minimum order of non-commutative hypergroups is five, even though the minimum order of non-commutative groups is six.

Journal

  • Journal of Algebra and Its Applications

    Journal of Algebra and Its Applications 16(7), 1750127, 2016-07-28

    World Scientific Publishing

Codes

  • NII Article ID (NAID)
    120006652067
  • NII NACSIS-CAT ID (NCID)
    AA11646389
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    0219-4988
  • Data Source
    IR 
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