-hypergroups and -semihypergroups associated to binary relations
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abstract
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
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Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 35
issue 2 2011
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