On associative algebras satisfying the Engel condition

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


It is shown that every finitely generated associative algebra over a field of characteristic p>0 satisfying the Engel condition is Lie-nilpotent. It follows that the Engel condition is inherited from an algebra A to its group of units, U(A).

Original languageAmerican English
Pages (from-to)287-290
Number of pages4
JournalIsrael Journal of Mathematics
Issue number3
StatePublished - Oct 1989


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