On triple homomorphisms of Lie algebras

被引：0

作者：

Jafari, Mohammad Hossein ^{[1
]}

Madadi, Ali Reza ^{[1
]}

Traustason, Gunnar ^{[2
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran

[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 08期

关键词：

Lie algebras; homomorphisms; antihomomorphisms; triple homomorphisms; AUTOMORPHISMS;

D O I：

10.1142/S0219498823501682

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let, L and K be two Lie algebras over a commutative ring with identity. In this paper, under some conditions on L and K, it is proved that every triple homomorphism from L onto K is the sum of a homomorphism and an antihomomorphism from L into K. We also show that a finite-dimensional Lie algebra L over an algebraically closed field of characteristic zero is nilpotent of class at most 2 if and only if the sum of every homomorphism and every antihomomorphism on L is a triple homomorphism.

引用

页数：18

共 8 条

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