On associative algebras satisfying the Engel condition
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- Shalev, A. Israel J. Math. (1989) 67: 287. doi:10.1007/BF02764947
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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).