On the Lie-solvability of Novikov algebras
| Autor: | Tulenbaev, Kaisar, Umirbaev, Ualbai, Zhelyabin, Viktor |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $[N,N]$. Comment: 11 pages. arXiv admin note: text overlap with arXiv:2103.07464 |
| Databáze: | arXiv |
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