Products of derivations which act as Lie derivations on commutators of right ideals

V. De Filippis

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-13

Abstract:

Let R be a prime ring of characteristic different from 2, I a nonzero right ideal of R , d and δ nonzero derivations of R , and s 4 ( x 1 , x 2 , x 3 , x 4 ) the standard identity of degree 4. If the composition ( d δ ) is a Lie derivation of [ I , I ] into R , then either s 4 ( I , I , I , I ) I = 0 or δ ( I ) I = d ( I ) I = 0 .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:053145

DOI: 10.1155/IJMMS/2006/53145

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