Polynomial identities in Novikov algebras

In this paper, we study Novikov algebras satisfying nontrivial identities. We show that a algebra over field of zero characteristic satisfies identity some unexpected “universal” identities, in particular, right associator nilpotence, and nilpotence the commutator ideal. This, implies if only it is Lie-solvable. also establish any system identities follows from finitely many them, same holds for multilinear Some analogous simpler statements are proved commutative differential algebras.