On $(m,n)$-ary $P$-$H_{v}$-modules and their isomorphism theorems

On $(m, n)$ -ary $P$ - $H_{v}$ -modules and their isomorphism theorems

Articles in Press

Document Type : Original Manuscript

Authors

¹ Abu Dhabi University

² Yazd University

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.

Keywords