
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.
Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Study of properties and structures of commutative rings, Ternary operation, Tensor (intrinsic definition), Physics, Cluster Algebras and Triangulated Categories, Pure mathematics, Computer science, Quantum mechanics, Cosmology, Programming language, Tensor product, Modular Tensor Categories, Physical Sciences, Homomorphism, Flatness (cosmology), FOS: Mathematics, Geometry and Topology, Mathematics
Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Study of properties and structures of commutative rings, Ternary operation, Tensor (intrinsic definition), Physics, Cluster Algebras and Triangulated Categories, Pure mathematics, Computer science, Quantum mechanics, Cosmology, Programming language, Tensor product, Modular Tensor Categories, Physical Sciences, Homomorphism, Flatness (cosmology), FOS: Mathematics, Geometry and Topology, Mathematics
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