On associative algebras satisfying the Engel condition |
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| Authors: | Aner Shalev |
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| Affiliation: | (1) Institute of Mathematics and Computer Sciences, The Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel;(2) Present address: Mathematical Institute, University of Oxford, 24-29 St. Giles, OX1 3LB Oxford, U.K. |
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| 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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