On Complementable Semihypergroups |
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Authors: | Hossien Aghabozorgi Morteza Jafarpour |
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Affiliation: | Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran |
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Abstract: | In this article, we first introduce the notion of complementable semihypergroup, proving that the classes of simplifiable semigroups, groups, simplifiable semihypergroups, and complete hypergroups are examples of complementable semihypergroups. Then we define when two semihypergroups are disjoint and find examples of such semihypergroups. Finally, we discuss on the complementable property of KH-hypergroups. |
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Keywords: | Complementable semihypergroup Disjoint semihypergroup KH-hypergroup (Semi)hypergroup |
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