Abstract
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 language | English |
|---|---|
| Pages (from-to) | 287-290 |
| Number of pages | 4 |
| Journal | Israel Journal of Mathematics |
| Volume | 67 |
| Issue number | 3 |
| DOIs | |
| State | Published - Oct 1989 |