Abstract
It is shown that every finitely generated associative algebra over a field of characteristicp>0 satisfying the Engel condition is Lie-nilpotent. It follows that the Engel condition is inherited from an algebraA to its group of units,U(A).
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Shalev, A. On associative algebras satisfying the Engel condition. Israel J. Math. 67, 287–290 (1989). https://doi.org/10.1007/BF02764947
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DOI: https://doi.org/10.1007/BF02764947