ON (m, n)-ARY P-Hv-MODULES AND THEIR ISOMORPHISM THEOREMS | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 3، بهمن 2025، صفحه 63-80 اصل مقاله (170.79 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12904.1703 | ||
| نویسندگان | ||
| M. Al Tahan1؛ Bijan Davvaz* 2 | ||
| 1Department of Mathematics and Statistics, Abu Dhabi University, United Arab Emirates. | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| n)$-ary $H_v$-module؛ $(m؛ n)$-ary $H_v$-ring؛ $P$-hyperoperation | ||
| مراجع | ||
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