JournalspmVol. 69 / No. 4DOI 10.4171/pm/1917

Construction of nn-ary (H,G)(H,G)-hypergroups

  • Said M. Anvariyeh

    Yazd University, Iran

  • Bijan Davvaz

    Yazd University, Iran

  • Saeed Mirvakili

    Payame Noor University, Tehran, Iran
Construction of $n$-ary $(H,G)$-hypergroups cover

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Abstract

In this paper, we shall define the concepts of completion and complete part with respect to -ary -hypergroups. Moreover, we present a way to obtain a new -ary hypergroup, starting with other -ary hypergroups. Finally, we introduce the fundamental relation of an -ary hypergroup and prove some results. Examples in known classes of -ary -hypergroups are also investigated.