From structures to weak hyperstructures

The hyperstructures, born in ۱۹۳۴, are a generalization of the operation by the hyper-operation or multivalued operation. In ۱۹۷۰, the \beta^* relation, called now fundamental, connects structures with corresponding hyperstructures. In ۱۹۹۰, a generalization on the properties or axioms, which the hyper-operations fulfill, called weak properties, appeared. So the H_v-structures were born. The study of hyperstructures, especially of the weak ones, gives new topics in the field which have numerous of applications in mathematics and other sciences. Here, we present an overview of applications of H_v-structures.

کلیدواژه ها:

weak hyper-operation ، weak axiom ، Hv-structure ، Hv-field