Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras

We introduce a dual notion of the Poisson algebra, called transposed by exchanging roles two binary operations in Leibniz rule defining algebra. The algebra shares common properties and arises naturally from Novikov-Poisson taking commutator Lie Novikov Consequently, classic construction commutative with commuting derivations similarly applies to More broadly, captures algebraic structures when is taken pre-Lie algebras other type algebras. Furthermore, improves processes that produce 3-Lie strongness condition.