ON (m, n)-ARY P-Hv-MODULES AND THEIR ISOMORPHISM THEOREMS

dc.contributor.author	Tahan , M. Al
dc.contributor.author	Davvaz, B.
dc.date.accessioned	2026-01-22T07:57:25Z
dc.date.available	2026-01-22T07:57:25Z
dc.date.issued	2025
dc.description	New generalizations for algebraic structures were defined where the notion of n-ary algebraic structure was extended to the notion of n-ary Hvstructures. A link between P-hyperoperations and (m, n)-ary Hv-modules was established in [12], where Davvaz and Vougiouklis defined three kinds of external n-ary P-hyperoperations, and they used them to construct several (m, n)-ary Hv-modules.
dc.description.abstract	Abstract. 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 (m, n)-ary Hv-modules over (m, n)-ary Hv-rings by using P-hyperoperations. We study their properties and prove their isomorphism theorems. Keywords Hyperstructure theory , Hv-modules , Isomorphism theorems, Aalgebraic structures.
dc.identifier.citation	Al Tahan, M., & Davvaz, B. (2025). ON (m, n)-ARY P-Hv-MODULES AND THEIR ISOMORPHISM THEOREMS. Journal of Algebraic Systems, 13(3), 63-80.
dc.identifier.doi	https://doi.org/10.22044/JAS.2023.12904.1703
dc.identifier.uri	https://repository.adu.ac.ae/handle/1/8073
dc.language.iso	en
dc.publisher	Shahrood University of Technology
dc.title	ON (m, n)-ARY P-Hv-MODULES AND THEIR ISOMORPHISM THEOREMS
dc.type	Article

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