Jordan Derivations and Lie Derivations on Path Algebras

被引：7
|
作者：
Li, Y. [1 ]
Wei, F. [2 ]
机构：
[1] Northeastern Univ, Sch Math & Stat, Qinhuangdao 066004, Peoples R China
[2] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Path algebra; Jordan derivation; Lie derivation; GENERALIZED MATRIX ALGEBRAS; TRIANGULAR ALGEBRAS;
D O I：
10.1007/s41980-018-0006-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.
引用
收藏
页码：79 / 92
页数：14
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