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On the Lie-solvability of Novikov algebras

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dc.creator Zhelyabin, Viktor
dc.creator Umirbaev, Ualbai
dc.creator Tulenbaev, Kaisar
dc.date 2023-05-01T00:00:00Z
dc.identifier cf533747-4cf8-4bba-a58c-5196237dc6e3
dc.identifier 10.1142/s0219498823501177
dc.identifier https://avesis.sdu.edu.tr/publication/details/cf533747-4cf8-4bba-a58c-5196237dc6e3/oai
dc.description 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].
dc.language eng
dc.rights info:eu-repo/semantics/openAccess
dc.title On the Lie-solvability of Novikov algebras
dc.type info:eu-repo/semantics/article


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