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- W3117169578 abstract "In this paper, we first study properties of the lower central chains for Novikov algebras. Then we show that for every Lie nilpotent Novikov algebra~$mathcal{N}$, the ideal of~$mathcal{N}$ generated by the set~${ab - bamid a, bin mathcal{N}}$ is nilpotent. We secondly provide necessary and sufficient conditions on the graph $E$ and the field $K$ for which the Leavitt path algebra $L_K(E)$ is Lie solvable. Consequently, we obtain a complete description of Lie nilpotent Leavitt path algebras, and show that the Lie solvability of~$L_K(E)$ and the Lie nilpotency of $[L_K(E),L_K(E)]$ are the same." @default.
- W3117169578 created "2021-01-05" @default.
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- W3117169578 date "2020-12-21" @default.
- W3117169578 modified "2023-09-27" @default.
- W3117169578 title "Lie nilpotent Novikov algebras and Lie solvable Leavitt path algebras" @default.
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