Some Properties of Tensor Products of Ternary Semimodules

We introduce tensor products of ternary semimodules over ternary semifields and prove the universal mapping property of the tensor products. Moreover, we introduce the exact sequences of ternary semimodules and flat ternary semimodules. We later provide a condition for preserving the flatness of ternary semimodules with tensor products of ternary semimodule homomorphisms.