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We prove that any Novikov algebra over a field of characteristic Formula: see text is Lie-solvable if and only if its commutator ideal Formula: see text is right nilpotent. We also construct examples of infinite-dimensional Lie-solvable Novikov algebras Formula: see text with non-nilpotent commutator ideal Formula: see text.
Tulenbaev et al. (Tue,) studied this question.
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