The main purpose of this paper is to study non-commutative ternary Nambu-Poisson algebras and their Homtype version. We provide construction results dealing with tensor product and direct sums of two (non- commutative) ternary (Hom-) Nambu-Poisson algebras. Moreover, we explore twisting principle of (non-commutative) ternary Nambu-Poisson algebras along with algebra morphism that lead to construct (non-commutative) ternary Hom- Nambu-Poisson algebras. Furthermore, we provide examples and a 3-dimensional classification of non-commutative ternary Nambu-Poisson algebras.
"Non-Commutative Ternary Nambu-Poisson Algebras and Ternary Hom-Nambu-Poisson Algebras." J. Gen. Lie Theory Appl. 9 (1) 1 - 8, 2015. https://doi.org/10.4172/1736-4337.1000221