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.
Cite this article
Said M. Anvariyeh, Bijan Davvaz, Saeed Mirvakili, Construction of -ary -hypergroups. Port. Math. 69 (2012), no. 4, pp. 259–281DOI 10.4171/PM/1917