On the Lie-solvability of Novikov algebras
Abstract
We prove that any Novikov algebra over a field of characteristic ≠ 2 is Lie-solvable if and only if its commutator ideal [N,N] is right nilpotent. We also construct examples of infinite-dimensional Lie-solvable Novikov algebras N with non nilpotent commutator ideal [N,N].
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