Tensor Products of Ternary Semimodules over Ternary Semifields

Abstract

We introduce tensor products of ternary semimodules over ternary semifields and the n-fold tensor products for general case. We prove the universal mapping property of the n-fold tensor products. Moreover, we later provide a condition for preserving the flatness of ternary semimodules with tensor products of ternary semimodule homomorphisms.