The c-nilpotent Schur Lie-multiplier for the direct sum of two Leibniz algebras

被引：0
|
作者：
Casas, J. M. [1 ]
Johari, F. [2 ]
机构：
[1] Univ Vigo, Dept Matemat Aplicada, IEE Forestal, Campus Univ A Xunqueira, Pontevedra 36005, Spain
[2] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05586090 Sao Paulo, SP, Brazil
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 03期
基金：
巴西圣保罗研究基金会; 瑞典研究理事会;
关键词：
Relative commutator; c-Nilpotent Schur Lie-multiplier; c-Lie-capability; Leibniz algebra; CENTRAL EXTENSIONS; GALOIS THEORY; DIMENSION;
D O I：
10.1007/s13398-022-01266-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain the c-nilpotent Schur Lie-multiplier of a direct sum of two Leibniz algebras by means of the c-nilpotent Schur Lie-multiplier of every summand plus and additional term. As an application, we characterize the c-Lie-capability of a direct sum of two finite dimensional non-abelian Leibniz algebras.
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页数：24
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