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

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Al Tahan M.; Davvaz Bijan

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Journal Paper

Paper Information

Journal: Journal of Algebraic Systems Year:2025 | Volume:13 | Issue:3 Page(s): 63-80

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Title

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

Author(s)

Al Tahan M. | Davvaz Bijan | Issue Writer Certificate

Keywords

n)$-ary $H_v$-module

$(m

n)$-ary $H_v$-ring

$P$-hyperoperation

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 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.

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