Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x^(2)=J(x,y,zu)=0

作     者：Oscar Guajardo Garza Marina Rasskazova Liudmila Sabinina (O)scar Guajardo Garza;Marina Rasskazova;Liudmila Sabinina

作者机构：Centro de Investigacion en CienciasUAEMCuernavacaMexico Omsk State Technical Universitypr.Mira 11OmskRussia 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2021年第28卷第1期

页      面：87-90页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The second author thanks FAPESP(processo 2018/11292-6)of Brazil,and the Ministry of Education Science of the Russian Federation within the scope of the base part of a State Assignment within the sphere of scientific activity(Project No.2.9314.2017)for financial support The third author thanks SNI and FAPESP grant process 2015/07245-4 for support 

主　　题：Malcev theorem Levi factor splitting algebra binary Lie algebra 

摘      要：We study the variety of binary Lie algebras defined by the identities x^(2)=J(x,y,zu)=0,where J(a,b,c)denotes the Jacobian of a,b,*** 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.