Implicative Homomorphisms Between Implicative N.p.o. Ternary Semigroups

The concept of implicative n.p.o. (negatively partially ordered) ternary semigroups, which extends the concept of implicative n.p.o. semigroups introduced by M. W. Chan and K. P. Shum, Homomorphisms of implicative semigroups, Semigroup Forum 46 (1993) 7-15, was studied by K. Nakwan, P. Luangchaisri and T. Changphas, Implicative negatively partially ordered ternary semigroups, Eur. J. Pure Appl. Math. 17(4) (2024) 4180-4194. In this paper, we continue the study of these ternary semigroups and establish a connection between implicative homomorphisms and ternary semigroup homomorphisms of implicative n.p.o. ternary semigroups.