Generalized Lie derivations on skew elements of prime algebras with involution

Pao Kuei Liau; Cheng Kai Liu

doi:10.1016/j.laa.2010.12.027

Generalized Lie derivations on skew elements of prime algebras with involution

Pao Kuei Liau, Cheng Kai Liu

Department of Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We characterize generalized Lie derivations on skew elements of prime algebras A with involution, provided that A does not satisfy polynomial identities of low degree. The analogous result for matrix algebras is also described.

Original language	English
Pages (from-to)	67-76
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	435
Issue number	1
DOIs	https://doi.org/10.1016/j.laa.2010.12.027
Publication status	Published - 2011 Jul 1

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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title = "Generalized Lie derivations on skew elements of prime algebras with involution",

abstract = "We characterize generalized Lie derivations on skew elements of prime algebras A with involution, provided that A does not satisfy polynomial identities of low degree. The analogous result for matrix algebras is also described.",

author = "Liau, {Pao Kuei} and Liu, {Cheng Kai}",

year = "2011",

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doi = "10.1016/j.laa.2010.12.027",

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journal = "Linear Algebra and Its Applications",

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AU - Liau, Pao Kuei

AU - Liu, Cheng Kai

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N2 - We characterize generalized Lie derivations on skew elements of prime algebras A with involution, provided that A does not satisfy polynomial identities of low degree. The analogous result for matrix algebras is also described.

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DO - 10.1016/j.laa.2010.12.027

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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