Abstract
We introduce the class of split Malcev-Poisson-Jordan algebras as the natural extension of the one of split Malcev Poisson algebras, and therefore split (non-commutative) Poisson algebras. We show that a split Malcev-Poisson-Jordan algebra P can be written as a direct sum with any Ij a non-zero ideal of P in such a way that satisfies for . Under certain conditions, it is shown that the above decomposition of P is by means of the family of its simple ideals.
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