Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.
Tapia,Algebraic invariants, determinants, and Cayley-Hamilton theorem for hypermatrices: The Fourth rank case,math-ph/0208010
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Separability from Multipartite Measures
Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.