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On the inner structure of 3-dimensional Leibniz algebras (2211.01074v1)
Published 2 Nov 2022 in math.RA
Abstract: Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all $a,b,c\in L$. We describe the inner structure of left Leibniz algebras having dimension 3.
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