On the Lie-solvability of Novikov algebras

2022

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DOI 10.1142/s0219498823501177
Data confidence 70 medium
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Abstract

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].