On derivations and commutativity in prime rings

Vincenzo De Filippis

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-7

Abstract:

Let R be a prime ring of characteristic different from 2 , d a nonzero derivation of R , and I a nonzero right ideal of R such that [ [ d ( x ) , x ] , [ d ( y ) , y ] ] = 0 , for all x , y ∈ I . We prove that if [ I , I ] I ≠ 0 , then d ( I ) I = 0 .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:898932

DOI: 10.1155/S0161171204403536

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