Transposed Novikov-Poisson algebras are solvable iff right nilpotent iff P² is nilpotent, with these properties equivalent to those of the underlying commutative associative and Novikov algebras, and Itô's theorem holds.
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Solvability and nilpotency of transposed Novikov-Poisson algebras
Transposed Novikov-Poisson algebras are solvable iff right nilpotent iff P² is nilpotent, with these properties equivalent to those of the underlying commutative associative and Novikov algebras, and Itô's theorem holds.