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Some Theorems on Leibniz n-Algebras from the Category Un (Lb)

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We study the Leibniz n-algebra Un (L), whose multiplication is defined via the bracket of a Leibniz algebra L as [ x1, …, xn]= [x1, […,[ xn-2, [ x n-1,… Click to show full abstract

We study the Leibniz n-algebra Un (L), whose multiplication is defined via the bracket of a Leibniz algebra L as [ x1, …, xn]= [x1, […,[ xn-2, [ x n-1, xn] ] … ] ]. We show that Un (L) is simple if...

Keywords: theorems leibniz; leibniz algebras; algebras category

Journal Title: Algebra Colloquium
Year Published: 2021

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