Resumen de Strongly transitive geometric spaces: Applications to hyperrings

S. Mirvakili, Bijan Davvaz

• In this paper, we determine two families R and G of subsets of a hyperring R and sufficient conditions such that two geometric spaces (R, R) and (R, G) are strongly transitive. Moreover, we prove that the relations Γ and α are strongly regular equivalence relations on a hyperfield or a hyperring such that (R, +) has an identity element.