On Cyclic LA-Hypergroups
Symmetry(2023)
摘要
Symmetries in the context of hypergroups and their generalizations are closely related to the algebraic structures and transformations that preserve certain properties of hypergroup operations. Symmetric LA-hypergroups are indeed commutative hypergroups. This paper considers a category of cyclic hyperstructures called the cyclic LA-semihypergroup that is a conception of LA-semihypergroups and cyclic hypergroups. We inaugurate the idea of cyclic LA-hypergroups. The interconnected notions of single-power cyclic LA-hypergroups, non-single power cyclic LA-hypergroups and some of their properties are explored.
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关键词
cyclic LA-semihypergroups,cyclic LA-hypergroups,index of a generator,single-power cyclic LA-hypergroups,fundamental relations
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