Affiliation:
1. Department of Mathematics , Yazd University , Yazd Iran
2. Department of Mathematics Faculty of Science and Arts-Rabigh King Abdulaziz University , Jeddah Saudi Arabia
Abstract
Abstract
In the present paper, we prove that a prime ring R with center Z satisfies s
4, 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
∈Z for all u,v in some non-central Lie ideal L of R whenever either char(R)>n or char(R)=0, where n is a fixed positive integer.
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