Strongly transitive geometric spaces associated to hypermodules

In this paper, we use the strongly regular θ∗-relation on hypermodules (with canonical hypergroup) over a given Krasner hyperring. In this way, we consider the fundamental relation θ∗ defined on a hypermodule and prove some results in this respect. Also, we determine a family Pσ(M) of subsets of a hypermodule M and we give sufficient conditions such that the geometric space (M,Pσ(M)) is strongly transitive and the relation θ is transitive.