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On the Lie-solvability of Novikov algebras (2112.13457v1)
Published 26 Dec 2021 in math.RA
Abstract: We prove that any Novikov algebra over a field of characteristic $\neq 2$ 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 $[N,N]$.