Notes on Automorphisms of Prime Rings
Year: 2015
Author: Shuliang Huang
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 193–198
Abstract
Let R be a prime ring, L a noncentral Lie ideal and σ a nontrivial automorphism of R such that usσ(u)ut=0 for all u∈L, where s, t are fixed non-negative integers. If either charR>s+t or charR=0, then R satisfies s4, 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 charR>n or charR=0, then R is commutative.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.03.01
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 193–198
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: prime ring Lie ideal automorphism.
Author Details
Shuliang Huang Email