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.

引用

页码：441 / 452

页数：11

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