CHARACTERIZATIONS OF LINEAR MAPPINGS THROUGH ZERO PRODUCTS OR ZERO JORDAN PRODUCTS

被引：15

作者：

An, Guanyu ^{[1
]}

Li, Jiankui ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2016年 / 31卷

基金：

中国国家自然科学基金;

关键词：

Generalized derivation; Generalized Jordan derivation; Jordan left derivation; Zero Jordan product determined algebra; LOCAL AUTOMORPHISMS; MATRIX ALGEBRAS; DERIVATIONS; MAPS;

D O I：

10.13001/1081-3810.3090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a unital algebra and M be a unital A-bimodule. A characterization of generalized derivations and generalized Jordan derivations from A into M, through zero products or zero Jordan products, is given. Suppose that M is a unital left A-module. It is investigated when a linear mapping from A into M is a Jordan left derivation under certain conditions. It is also studied whether an algebra with a nontrivial idempotent is zero Jordan product determined, and Jordan homomorphisms, Lie homomorphisms and Lie derivations on zero Jordan product determined algebras are characterized.

引用

页码：408 / 424

页数：17

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