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UPA Perpustakaan Universitas Jember

EL-hyperstructures associated to n-ary relations

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This contribution deals with n-ary relations and hyperstructure theory. There exists a way of creating semihypergroups and hypergroups from (partially) quasi-ordered (semi)groups known as Ends lemma construction. In this paper, we use this method to introduce a new class of (semi)hypergroup from a given (semi)group endowed with a preordering n-ary relation as a generalization of EL hyperstructures. Then, we study some basic properties and
important elements belonging to this class and the essential differences between this new class and the earlier one (i.e.EL-hyperstructures) are also investigated.

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