Constructing a new class of H_v-semigroups

Let X be a non-empty set and H_X be the set of all mappings fromX to P^*(X), when P^*(X) is the family of all non-empty subsets ofX. In this paper, we define the hyperoperation \circledcirc on H_X such that(H_X;\circledcirc) is an Hv-semigroup. Then we prove that the fundamentalrelation \beta on H_X is the trivial relation.

کلیدواژه ها:

hyperoperation ، H_v-semigroup ، fundamental relation