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

Abstract

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 (m, n)-ary Hv-modules over (m, n)-ary Hv-rings by using P-hyperoperations. We study their properties and prove their isomorphism theorems.

Keywords Hyperstructure theory , Hv-modules , Isomorphism theorems, Aalgebraic structures.