Prime Left Ideals in Ternary Semigroups

In this paper generalizing the concept of prime, semiprime and irreducible ideals in ternary semigroups we introduce prime left, semiprime left and irreducible left ideals in ternary semigroups. We study different types of ternary semigroups by the properties of their prime left, semiprime left and irreducible left ideals. We also characterize those ternary semigroups for which each left ideal is semiprime left.