Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0

Óscar Guajardo Garza,Liudmila Sabinina,Marina Rasskazova

doi:10.1142/s1005386721000080

Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0

Óscar Guajardo Garza, Liudmila Sabinina + Show 1 more

https://doi.org/10.1142/s1005386721000080

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Journal: Algebra Colloquium

Publication Date: Jan 20, 2021

Affiliation: Universidad Autónoma del Estado de México, Omsk State Technical University

#Variety Of Algebras #Binary Algebras + Show 6 more

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Abstract

We study the variety of binary Lie algebras defined by the identities [Formula: see text], where [Formula: see text] denotes the Jacobian of [Formula: see text], [Formula: see text], [Formula: see text]. Building on previous work by Carrillo, Rasskazova, Sabinina and Grishkov, in the present article it is shown that the Levi and Malcev theorems hold for this variety of algebras.

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