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On the simplicity of Lie algebra of Leavitt path algebra

Authors :
Alahmedi, Adel
Alsulami, Hamed
Publication Year :
2013

Abstract

For a field $F$ and a row-finite directed graph $\Gamma$ let $L(\Gamma)$ be the Leavitt path algebra. We find necessary and sufficient conditions for the Lie algebra $[L(\Gamma),L(\Gamma)]$ to be simple.<br />Comment: 7 pages, 10 figures

Subjects

Subjects :
Mathematics - Rings and Algebras

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1304.1922
Document Type :
Working Paper