JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022 (SCI-Expanded)
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JOURNAL OF ALGEBRA AND ITS APPLICATIONS
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Novikov algebra, Lie-solvability, nilpotency
Süleyman Demirel University Affiliated:
We prove that any Novikov algebra over a field of characteristic not equal 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].