Automorphisms with Lie İdeals and (η,ξ)-derivations

Abstract

Let S be a prime ring with charS≠2 and η, ξ, κ, ε, λ and μ will be automorphisms of S. The purpose of our paper is 6 to study (η,ξ)-derivations and automorphisms satisfying certain identities on Lie ideals of prime rings.

Keywords

• Prime Ring
• Lie Ideal
• Derivation
• Automorphism.

References

1. [1] E. Güven, K. Kaya and M. Soytürk, "Some Results on (σ,τ)-Lie Ideals", Math. J. Okayama Univ., 49, 2007, pp. 59-64.
2. [2] E. Güven, "Lie Ideals in Prime Rings with (σ,τ)−Derivation", Int.journal of Algebra, 2009, pp. 857-862.
3. [3] N. Aydın and K. Kaya, "Some Generalization in Prime Rings with (σ, τ )−Derivations", Doğa-Tr.J.of Mathematics, 16 , 1992, pp. 169-176.
4. [4] H. Kandamar and K. Kaya, "Lie Ideals and (σ,τ)−Derivation in Prime Rings", Hacettepe Bull.Nat. Sci. Eng,.Vol. 21, 1992, pp. 29-33.
5. [5] Herstein, I. N.,“On the Lie Structure of an Assosiative Rings”, Journal of Algebra, 14, 1970, pp. 561-571
6. [6] Bergen, J., Herstein, I. N. and Kerr, J. W., “Lie Ideals and Derivation of Prime Rings”, Journal of Algebra, Vol. 71, 1981, pp. 259-267