Lie generalized derivations on trivial extension algebras

被引：0
|
作者：
D. Bennis
H. R. Ebrahimi Vishki
B. Fahid
A. A. Khadem-Maboudi
A. H. Mokhtari
机构：
[1] Mohammed V University,Department of Mathematics, Faculty of Sciences, CeReMAR Center
[2] Ferdowsi University of Mashhad,Department of Pure Mathematics, Centre of Excellence in Analysis on Algebraic Structures (CEAAS)
[3] Shahid Beheshti University of Medical Sciences,Department of Biostatistics, Faculty of Paramedical Sciences
[4] University of Birjand,Technical Faculty of Ferdows
来源：
Bollettino dell'Unione Matematica Italiana | 2019年 / 12卷
关键词：
Lie generalized derivation; Trivial extension algebra; Triangular algebra; 15A78; 16W25; 47B47;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the problem of describing the form of Lie generalized derivations on trivial extension algebras. We show, under some conditions, that every Lie generalized derivation on a trivial extension algebra is an sum of a generalized derivation and a center valued map which vanishes on all commutators. As an application we characterize Lie generalized derivation on a triangular algebra.
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页码：441 / 452
页数：11
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