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


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

Cite this article

Said M. Anvariyeh, Bijan Davvaz, Saeed Mirvakili, Construction of nn-ary (H,G)(H,G)-hypergroups. Port. Math. 69 (2012), no. 4, pp. 259–281

DOI 10.4171/PM/1917