A Generalization of Engel Conditions with Derivations in Rings
Author:
- 16 August 2011
- journal article
- research article
- Published by Taylor & Francis in Communications in Algebra
- Vol. 39 (8) , 2690-2696
Abstract
Let R be a prime ring of characteristic different from 2 with Z the center of R and d a nonzero derivation of R. Let k, m, n be fixed positive integers. If ([d(x k ), x k ] n ) m ∈ Z for all x ∈ R, then R satisfies S 4, the standard identity in 4 variables.Keywords
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