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

نویسندگان
Davvaz, Bijan ID 1
Al Tahan, M. ID 2

1 Department of Mathematics, Yazd University, Yazd, Iran.

2 Department of Mathematics and Statistics, Abu Dhabi University, United Arab Emirates.

doi
10.22044/jas.2023.12904.1703
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