On the Lie-solvability of Novikov algebras
Tulenbaev K. Umirbaev U. Zhelyabin V.
1 May 2023World Scientific
Journal of Algebra and its Applications
2023#22Issue 5
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].
Lie-solvability , nilpotency , Novikov algebra
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Department of Mathematics, Suleyman Demirel University, Almaty, 50040, Kazakhstan
Department of Mathematics, Wayne State University, Detroit, 48202, MI, United States
Department of Mathematics, Al-Farabi Kazakh National University, Almaty, 50040, Kazakhstan
Institute of Mathematics of the SB of RAS, Novosibirsk, 630090, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 50010, Kazakhstan
Department of Mathematics
Department of Mathematics
Department of Mathematics
Institute of Mathematics of the SB of RAS
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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