The concept of -semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of -semigroups. In this paper, we study the concept of semiprime ideals in a -semihypergroup and prove some results. Also, we introduce the notion of -hypergroups and closed -subhypergroups. Finally, we study the concept of -semihypergroups associated to binary relations and give necessary and sufficient conditions on a set of binary relations on a non-empty set S such that S becomes a -semihypergroup or a -hypergroup
Heidari, D., & Davvaz, B. (2011). -hypergroups and -semihypergroups associated to binary relations. Iranian Journal of Science, 35(2), 69-80. doi: 10.22099/ijsts.2011.2130
MLA
D. Heidari; B. Davvaz. " -hypergroups and -semihypergroups associated to binary relations", Iranian Journal of Science, 35, 2, 2011, 69-80. doi: 10.22099/ijsts.2011.2130
HARVARD
Heidari, D., Davvaz, B. (2011). ' -hypergroups and -semihypergroups associated to binary relations', Iranian Journal of Science, 35(2), pp. 69-80. doi: 10.22099/ijsts.2011.2130
VANCOUVER
Heidari, D., Davvaz, B. -hypergroups and -semihypergroups associated to binary relations. Iranian Journal of Science, 2011; 35(2): 69-80. doi: 10.22099/ijsts.2011.2130