ON GENERALIZED LIE IDEALS IN SEMI-PRIME RINGS WITH DERIVATION

  • Ozturk, M. Ali (Department of Mathematics Faculty of Arts and Science Cumhuriyet University) ;
  • Ceven, Yilmaz (Department of Mathematics Faculty of Arts and Science Cumhuriyet University)
  • Published : 2005.06.30

Abstract

The object of this paper is to study($\sigma,\;\tau$)-Lie ideals in semi-prime rings with derivation. Main result is the following theorem: Let R be a semi-prime ring with 2-torsion free, $\sigma$ and $\tau$ two automorphisms of R such that $\sigma\tau=\tau\sigma$=, U be both a non-zero ($\sigma,\;\tau$)-Lie ideal and subring of R. If $d^2(U)=0$, then d(U)=0 where d a non-zero derivation of R such that $d\sigma={\sigma}d,\;d\tau={\tau}d$.

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