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

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All Science Journal Classification (ASJC) codes

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

Cite this

Liau, P. K., & Liu, C-K. (2011). Generalized Lie derivations on skew elements of prime algebras with involution. Linear Algebra and Its Applications, 435(1), 67-76. https://doi.org/10.1016/j.laa.2010.12.027

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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.",

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Access to Document

10.1016/j.laa.2010.12.027