Tensor Products of Ternary Semimodules over Ternary Semifields

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 pr...

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Detalles Bibliográficos
Autores principales: Mahasarakham, Thorranin Pawaputanon Na, Sararnrakskul, Ruangvarin Intarawong, Sirasuntorn, Nissara
Formato: Capítulo de libro
Lenguaje:inglés
Publicado: IntechOpen 2022
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Acceso en línea:https://www.intechopen.com/chapters/85447
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Descripción
Sumario: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.
ISBN:978-1-83769-180-7
DOI:10.5772/intechopen.109242