Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings

Authors

Kassim Abdul-Hameed Jassim

Abstract

In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (σ,τ)-derivation of R. Then if Ua⊂Z(R) (or aU⊂Z(R)) for aЄR, then either or U is commutative Also, we assumed that Uis a ring to prove that: (i) If Ua⊂Z(R) (or aU⊂Z(R)) for aЄR, then either a=0 or U is commutative. (ii) If ad(U)=0 (or d(U)a=0) for aЄR, then either a=0 or U is commutative. (iii) If d is a homomorphism on U such that ad(U) ⊂Z(R)(or d(U)a⊂Z(R), then a=0 or U is commutative.

Article Type

Article

How to Cite this Article

Jassim, Kassim Abdul-Hameed (2009) "Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings," Baghdad Science Journal: Vol. 6: Iss. 1, Article 24.
DOI: https://doi.org/10.21123/bsj.2009.6.1.231-234