14 research outputs found

    Non-commutative hypergroup of order five

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    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

    Non-commutative hypergroup of order five

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    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.ArticleJournal of Algebra and Its Applications.16(7):1750127(2016)journal articl

    Extensions of Hypergroups of Order Two by Locally Compact Abelian Groups

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    The purpose of the present paper is to investigate extension problem in the category of commutative hypergroups. In fact, we determine all extensions of hypergroups of order two by locally compact abelian groups. (AMS Subject Classification : 43A62, 20N20.
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