Anti-automorphisms satisfying an Engel condition
Journal
Communications in Algebra
Journal Volume
45
Journal Issue
9
Pages
4030-4036
Date Issued
2017
Author(s)
Abstract
Let R be a semiprime ring with an anti-automorphism τ, which is of finite order. It is proved that if [[... [τ(x),xn1],...],xnk] = 0 for all x∈R, where n1,n2,...nk are k fixed positive integers, then τ is a commuting map. Moreover, commuting anti-automorphisms of semiprime rings are also characterized.
Type
journal article