We wrote this note to show that the definition of Γ-hypersemigroups in [2] should be corrected, and that it is not enough to replace the hyperoperation • of the hypersemigroup by Γ to pass from a hypersemigroup to a Γ-hypersemigroup. Care should be taken about the definitions of (m, n)-quasi-Γ-hyperideal, the m-left Γ-hyperideal and the n-right Γ-hyperideal as well.
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