Research ArticleNo Access

Finite generation of Lie derived powers of associative algebras

Adel Alahmadi

Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

E-mail Address: analahmadi@kau.edu.sa

Corresponding author.

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and

Hamed Alsulami

Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

E-mail Address: hhaalsalmi@kau.edu.sa

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https://doi.org/10.1142/S0219498819500592Cited by:3 (Source: Crossref)

Abstract

Let $A$ be an associative algebra over a field of characteristic $\neq 2$ that is generated by a finite collection of nilpotent elements. We prove that all Lie derived powers of $A$ are finitely generated Lie algebras.

Communicated by E. Zelmanov

Keywords:

AMSC: 17B60

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