Certain equivalence relations on ternary semigroups in respect to Green’s relations

The aim of this article is to study certain relations on ternary semigroups in respect to Green’s relations. In this paper we define certain equivalence relations L^∗; R^∗; M^∗ and I^∗ on ternary semigroups and we study some properties of these relations. Moreover we compareL^∗; R^∗; M^∗ and I^∗ with Green’s relations L, R, M and I. Then we investigate the conditions in which these relations coincide with each other