East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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ON LIE IDEALS OF PRIME RINGS WITH GENERALIZED JORDAN DERIVATION

  • Golbasi, Oznur (Department of Mathematics Faculty of Arts and Science Cumhuriyet University) ;
  • Aydin, Neset (Department of Mathematics Faculty of Arts and Science Canakkale 18 Mart University)
  • Published : 2005.06.30
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Abstract

The purpose of this paper is to show that every generalized Jordan derivation of prime ring with characteristic not two is a generalized derivation on a nonzero Lie ideal U of R such that $u^2{\in}U\;for\;{\forall}u{\in}U$ which is a generalization of the well-known result of I. N. Herstein.

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