Hyperstructures are algebraic structures equipped with at least one multivalued operation, called a hyperoperation. The largest classes of the hyperstructures are the ones called – structures. A hyperoperation on a nonempty set is a mapping from to the nonempty power set , meaning the set of all nonempty subsets of , i.e. If then we define and is a semihypergroup if is an associative hyperoperation, i.e. Furthermore, a hypergroup is a semihypergroup , where the is valid, i.e.
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