A note on automorphisms of Lie ideals in prime rings

Year, pages: 2018, 1223 - 1229

In the present paper, we prove that a prime ring $R$ with center $Z$ satisfies $s₄$, the standard identity in four variables if $R$ admits a non-identity automorphism $σ$ such that $([u^σ,u]v^σ+v^σ[u^σ,u])ⁿ\in Z$ for all $u, v$ in some non-central Lie ideal $L$ of $R$ whenever either $\chara(R)>n$ or $\chara(R)=0$, where $n$ is a fixed positive integer.

Davvaz, B., Raza, M. 2018. A note on automorphisms of Lie ideals in prime rings. In Mathematica Slovaca, vol. 68, no.5, pp. 1223-1229. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0179

Davvaz, B., Raza, M. (2018). A note on automorphisms of Lie ideals in prime rings. Mathematica Slovaca, 68(5), 1223-1229. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0179