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-hypergroups and -semihypergroups associated to binary relations | ||
| Iranian Journal of Science | ||
| مقاله 1، دوره 35، شماره 2، مرداد 2011، صفحه 69-80 اصل مقاله (190.32 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2130 | ||
| نویسندگان | ||
| D. Heidari؛ B. Davvaz* | ||
| Department of Mathematics,Yazd University, Yazd, Iran | ||
| چکیده | ||
| 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 | ||
| کلیدواژهها | ||
| hypergroup؛ semihypergroup؛ -semigroup؛ -semihypergroup؛ binary relation | ||
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