Constructs (m,n)-ary Hv-modules and studies their properties and isomorphism theorems.
After introducing the definition of hypergroups by Marty, the study of hyperstructures and its generalization to $(m,n)$-ary hyperstructures has been of great importance. In this paper, we construct the structure of $(m,n)$-ary Hᵥ-modules over $(m,n)$-ary Hᵥ-rings by using the notion of P-hyperoperations. We study their properties and prove their isomorphism theorems.
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Tahan et al. (2025) studied this question.
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