TY - JOUR
T1 - Notes on Automorphisms of Prime Rings
AU - Huang , Shuliang
JO - Communications in Mathematical Research 
VL - 3
SP - 193
EP - 198
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.03.01
UR - https://global-sci.org/intro/article_detail/cmr/18921.html
KW - prime ring, Lie ideal, automorphism.
AB - <p style="text-align: justify;">Let $R$ be a prime ring, $L$ a noncentral Lie ideal and $σ$ a nontrivial
automorphism of $R$ such that $u^sσ(u)u^t = 0$ for all $u ∈ L$, where $s$, $t$ are fixed
non-negative integers. If either char$R &gt; s + t$ or char$R = 0$, then $R$ satisfies $s_4$, the
standard identity in four variables. We also examine the identity $(σ([x, y])−[x, y])^n =
0$ for all $x, y ∈ I$, where $I$ is a nonzero ideal of $R$ and $n$ is a fixed positive integer. If
either char$R &gt; n$ or char$R = 0$, then $R$ is commutative.</p>