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 $H_v$-modules over $(m,n)$-ary $H_v$-rings by using the notion of $P$-hyperoperations. We study their properties and prove their isomorphism theorems.
Al Tahan, M. and Davvaz, B. (2024). On $(m,n)$-ary $P$-$H_{v}$-modules and their isomorphism theorems. Journal of Algebraic Systems, (), -. doi: 10.22044/jas.2023.12904.1703
MLA
Al Tahan, M. , and Davvaz, B. . "On $(m,n)$-ary $P$-$H_{v}$-modules and their isomorphism theorems", Journal of Algebraic Systems, , , 2024, -. doi: 10.22044/jas.2023.12904.1703
HARVARD
Al Tahan, M., Davvaz, B. (2024). 'On $(m,n)$-ary $P$-$H_{v}$-modules and their isomorphism theorems', Journal of Algebraic Systems, (), pp. -. doi: 10.22044/jas.2023.12904.1703
CHICAGO
M. Al Tahan and B. Davvaz, "On $(m,n)$-ary $P$-$H_{v}$-modules and their isomorphism theorems," Journal of Algebraic Systems, (2024): -, doi: 10.22044/jas.2023.12904.1703
VANCOUVER
Al Tahan, M., Davvaz, B. On $(m,n)$-ary $P$-$H_{v}$-modules and their isomorphism theorems. Journal of Algebraic Systems, 2024; (): -. doi: 10.22044/jas.2023.12904.1703
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