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- W4301669766 abstract "An algebra $L$ over a field $Bbb F$, in which product is denoted by $[,,,]$, is said to be textit{ Lie type algebra} if for all elements $a,b,cin L$ there exist $alpha, betain Bbb F$ such that $alphaneq 0$ and $[[a,b],c]=alpha [a,[b,c]]+beta[[a,c],b]$. Examples of Lie type algebras are associative algebras, Lie algebras, Leibniz algebras, etc. It is proved that if a Lie type algebra $L$ admits an automorphism of finite order $n$ with finite-dimensional fixed-point subalgebra of dimension $m$, then $L$ has a soluble ideal of finite codimension bounded in terms of $n$ and $m$ and of derived length bounded in terms of $n$." @default.
- W4301669766 created "2022-10-05" @default.
- W4301669766 creator A5023024488 @default.
- W4301669766 date "2014-11-02" @default.
- W4301669766 modified "2023-10-14" @default.
- W4301669766 title "Lie type algebras with an automorphism of finite order" @default.
- W4301669766 doi "https://doi.org/10.48550/arxiv.1411.0249" @default.
- W4301669766 hasPublicationYear "2014" @default.
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